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1312233110133 = 311172413355949
BaseRepresentation
bin10011000110000111001…
…100000011101001110101
311122110002210002211120020
4103012013030003221311
5132444423134011013
62442455341355353
7163543234253451
oct23060714035165
94573083084506
101312233110133
11466573420970
121923a0268b59
1396987639a4a
1447726127661
1524202d90623
hex13187303a75

1312233110133 has 48 divisors (see below), whose sum is σ = 2077037726400. Its totient is φ = 730254284800.

The previous prime is 1312233110101. The next prime is 1312233110141. The reversal of 1312233110133 is 3310113322131.

It is not a de Polignac number, because 1312233110133 - 25 = 1312233110101 is a prime.

It is a super-2 number, since 2×13122331101332 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1312233110173) 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 47 ways as a sum of consecutive naturals, for example, 1286958 + ... + 2068991.

It is an arithmetic number, because the mean of its divisors is an integer number (43271619300).

Almost surely, 21312233110133 is an apocalyptic number.

It is an amenable number.

1312233110133 is a deficient number, since it is larger than the sum of its proper divisors (764804616267).

1312233110133 is a wasteful number, since it uses less digits than its factorization.

1312233110133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3356038 (or 3356021 counting only the distinct ones).

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

Adding to 1312233110133 its reverse (3310113322131), we get a palindrome (4622346432264).

The spelling of 1312233110133 in words is "one trillion, three hundred twelve billion, two hundred thirty-three million, one hundred ten thousand, one hundred thirty-three".

Divisors: 1 3 11 17 33 41 51 123 187 289 451 561 697 867 1353 2091 3179 7667 9537 11849 23001 35547 130339 391017 3355949 10067847 36915439 57051133 110746317 137593909 171153399 412781727 627562463 969869261 1513532999 1882687389 2339096453 2909607783 4540598997 7017289359 10668561871 25730060983 32005685613 39764639701 77190182949 119293919103 437411036711 1312233110133