13131240101331 has 64 divisors (see below), whose sum is σ = 19429546553856. Its totient is φ = 7822249344000.

The previous prime is 13131240101327. The next prime is 13131240101347. The reversal of 13131240101331 is 13310104213131.

It is not a de Polignac number, because 13131240101331 - 2² = 13131240101327 is a prime.

It is a super-2 number, since 2×13131240101331² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13131240101131) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 608565015 + ... + 608586591.

It is an arithmetic number, because the mean of its divisors is an integer number (303586664904).

Almost surely, 2^{13131240101331} is an apocalyptic number.

13131240101331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13131240101331 is a deficient number, since it is larger than the sum of its proper divisors (6298306452525).

13131240101331 is a wasteful number, since it uses less digits than its factorization.

13131240101331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23012.

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 13131240101331 its reverse (13310104213131), we get a palindrome (26441344314462).

The spelling of 13131240101331 in words is "thirteen trillion, one hundred thirty-one billion, two hundred forty million, one hundred one thousand, three hundred thirty-one".