13000033000031 has 48 divisors (see below), whose sum is σ = 16537878244512. Its totient is φ = 10104982272000.

The previous prime is 13000032999997. The next prime is 13000033000043.

13000033000031 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 13000033000031 - 2³⁸ = 12725155093087 is a prime.

It is a super-2 number, since 2×13000033000031² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13000033006031) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 411364631 + ... + 411396231.

It is an arithmetic number, because the mean of its divisors is an integer number (344539130094).

Almost surely, 2^{13000033000031} is an apocalyptic number.

13000033000031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13000033000031 is a deficient number, since it is larger than the sum of its proper divisors (3537845244481).

13000033000031 is a wasteful number, since it uses less digits than its factorization.

13000033000031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33480 (or 33473 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 14.

It can be divided in two parts, 1300003 and 3000031, that added together give a palindrome (4300034).

The spelling of 13000033000031 in words is "thirteen trillion, thirty-three million, thirty-one", and thus it is an aban number and an uban number.