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1313031132132 = 223314389922303
BaseRepresentation
bin10011000110110110110…
…000010001001111100100
311122112011101201112221120
4103012312300101033210
5133003041432212012
62443110450013540
7163602064321266
oct23066660211744
94575141645846
101313031132132
11466942930685
121925835772b0
1396a83a79505
14477a00d9b36
152424ce7658c
hex131b6c113e4

1313031132132 has 96 divisors (see below), whose sum is σ = 3272482160640. Its totient is φ = 409059383040.

The previous prime is 1313031132079. The next prime is 1313031132137. The reversal of 1313031132132 is 2312311303131.

It is not an unprimeable number, because it can be changed into a prime (1313031132137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 962493 + ... + 1884795.

It is an arithmetic number, because the mean of its divisors is an integer number (34088355840).

Almost surely, 21313031132132 is an apocalyptic number.

1313031132132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1313031132132 is an abundant number, since it is smaller than the sum of its proper divisors (1959451028508).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1313031132132 is a wasteful number, since it uses less digits than its factorization.

1313031132132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 922473 (or 922471 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 1313031132132 its reverse (2312311303131), we get a palindrome (3625342435263).

The spelling of 1313031132132 in words is "one trillion, three hundred thirteen billion, thirty-one million, one hundred thirty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 31 43 62 86 89 93 124 129 172 178 186 258 267 356 372 516 534 1068 1333 2666 2759 3827 3999 5332 5518 7654 7998 8277 11036 11481 15308 15996 16554 22962 33108 45924 118637 237274 355911 474548 711822 922303 1423644 1844606 2766909 3689212 5533818 11067636 28591393 39659029 57182786 79318058 82084967 85774179 114365572 118977087 158636116 164169934 171548358 237954174 246254901 328339868 343096716 475908348 492509802 985019604 1229429899 2458859798 2544633977 3529653581 3688289697 4917719596 5089267954 7059307162 7376579394 7633901931 10178535908 10588960743 14118614324 14753158788 15267803862 21177921486 30535607724 42355842972 109419261011 218838522022 328257783033 437677044044 656515566066 1313031132132