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13132133012310 = 2351333672135929
BaseRepresentation
bin1011111100011001000000…
…0111111001001101010110
31201111102022221002000201020
42333012100013321031112
53210124102022343220
643532452453342010
72523523332565464
oct277062007711526
951442287060636
1013132133012310
114203340805614
121581118937906
1374347c738bc0
143358548d1834
1517b8e48d4040
hexbf1901f9356

13132133012310 has 32 divisors (see below), whose sum is σ = 33941513017440. Its totient is φ = 3232525049088.

The previous prime is 13132133012303. The next prime is 13132133012311. The reversal of 13132133012310 is 1321033123131.

It is a super-2 number, since 2×131321330123102 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13132133012311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16836067575 + ... + 16836068354.

It is an arithmetic number, because the mean of its divisors is an integer number (1060672281795).

Almost surely, 213132133012310 is an apocalyptic number.

13132133012310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13132133012310 is an abundant number, since it is smaller than the sum of its proper divisors (20809380005130).

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

13132133012310 is a wasteful number, since it uses less digits than its factorization.

13132133012310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33672135952.

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

Adding to 13132133012310 its reverse (1321033123131), we get a palindrome (14453166135441).

The spelling of 13132133012310 in words is "thirteen trillion, one hundred thirty-two billion, one hundred thirty-three million, twelve thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 390 33672135929 67344271858 101016407787 168360679645 202032815574 336721359290 437737767077 505082038935 875475534154 1010164077870 1313213301231 2188688835385 2626426602462 4377377670770 6566066506155 13132133012310