13023000100032 has 56 divisors (see below), whose sum is σ = 37107202215216. Its totient is φ = 4007076953088.

The previous prime is 13023000100003. The next prime is 13023000100039. The reversal of 13023000100032 is 23000100032031.

13023000100032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 13023000099984 and 13023000100020.

It is not an unprimeable number, because it can be changed into a prime (13023000100039) 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, 2608771563 + ... + 2608776554.

It is an arithmetic number, because the mean of its divisors is an integer number (662628610986).

Almost surely, 2^{13023000100032} is an apocalyptic number.

13023000100032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13023000100032 is an abundant number, since it is smaller than the sum of its proper divisors (24084202115184).

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

13023000100032 is a wasteful number, since it uses less digits than its factorization.

13023000100032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5217548145 (or 5217548135 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 13023000100032 its reverse (23000100032031), we get a palindrome (36023100132063).

The spelling of 13023000100032 in words is "thirteen trillion, twenty-three billion, one hundred thousand, thirty-two".