13031331332031 has 12 divisors (see below), whose sum is σ = 18995722534360. Its totient is φ = 8607851888400.

The previous prime is 13031331332027. The next prime is 13031331332057. The reversal of 13031331332031 is 13023313313031.

13031331332031 is a `hidden beast` number, since 1 + 3 + 0 + 3 + 1 + 331 + 3 + 320 + 3 + 1 = 666.

It is not a de Polignac number, because 13031331332031 - 2² = 13031331332027 is a prime.

It is a super-2 number, since 2×13031331332031² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13031331331986 and 13031331332004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13031331332021) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6641860045 + ... + 6641862006.

Almost surely, 2^{13031331332031} is an apocalyptic number.

13031331332031 is a deficient number, since it is larger than the sum of its proper divisors (5964391202329).

13031331332031 is a wasteful number, since it uses less digits than its factorization.

13031331332031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13283722166 (or 13283722163 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 27.

Adding to 13031331332031 its reverse (13023313313031), we get a palindrome (26054644645062).

The spelling of 13031331332031 in words is "thirteen trillion, thirty-one billion, three hundred thirty-one million, three hundred thirty-two thousand, thirty-one".