13000332302031 has 8 divisors (see below), whose sum is σ = 17335220089984. Its totient is φ = 8666166357720.

The previous prime is 13000332302021. The next prime is 13000332302033. The reversal of 13000332302031 is 13020323300031.

13000332302031 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 13000332302031 - 2²⁷ = 13000198084303 is a prime.

It is a super-2 number, since 2×13000332302031² (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 = 13000332301989 and 13000332302007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13000332302033) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 180418885 + ... + 180490926.

It is an arithmetic number, because the mean of its divisors is an integer number (2166902511248).

Almost surely, 2^{13000332302031} is an apocalyptic number.

13000332302031 is a deficient number, since it is larger than the sum of its proper divisors (4334887787953).

13000332302031 is a wasteful number, since it uses less digits than its factorization.

13000332302031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360921821.

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 13000332302031 its reverse (13020323300031), we get a palindrome (26020655602062).

The spelling of 13000332302031 in words is "thirteen trillion, three hundred thirty-two million, three hundred two thousand, thirty-one".