13029122093031 has 24 divisors (see below), whose sum is σ = 20541143999376. Its totient is φ = 7892435264640.

The previous prime is 13029122093021. The next prime is 13029122093047. The reversal of 13029122093031 is 13039022192031.

13029122093031 is a `hidden beast` number, since 1 + 30 + 291 + 220 + 93 + 0 + 31 = 666.

It is not a de Polignac number, because 13029122093031 - 2¹¹ = 13029122090983 is a prime.

It is a super-2 number, since 2×13029122093031² (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 (13029122093021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33156750 + ... + 33547403.

It is an arithmetic number, because the mean of its divisors is an integer number (855880999974).

Almost surely, 2^{13029122093031} is an apocalyptic number.

13029122093031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13029122093031 is a deficient number, since it is larger than the sum of its proper divisors (7512021906345).

13029122093031 is a wasteful number, since it uses less digits than its factorization.

13029122093031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66706143 (or 66706140 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The spelling of 13029122093031 in words is "thirteen trillion, twenty-nine billion, one hundred twenty-two million, ninety-three thousand, thirty-one".