13331131011032 has 128 divisors (see below), whose sum is σ = 27121233110400. Its totient is φ = 6126343077888.

The previous prime is 13331131011017. The next prime is 13331131011041. The reversal of 13331131011032 is 23011013113331.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a junction number, because it is equal to n+sod(n) for n = 13331131010989 and 13331131011007.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 519253748 + ... + 519279420.

It is an arithmetic number, because the mean of its divisors is an integer number (211884633675).

Almost surely, 2^{13331131011032} is an apocalyptic number.

It is an amenable number.

13331131011032 is an abundant number, since it is smaller than the sum of its proper divisors (13790102099368).

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

13331131011032 is a wasteful number, since it uses less digits than its factorization.

13331131011032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26685 (or 26681 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 23.

Adding to 13331131011032 its reverse (23011013113331), we get a palindrome (36342144124363).

The spelling of 13331131011032 in words is "thirteen trillion, three hundred thirty-one billion, one hundred thirty-one million, eleven thousand, thirty-two".