13013124401232 has 80 divisors (see below), whose sum is σ = 37369368118080. Its totient is φ = 4335747712128.

The previous prime is 13013124401131. The next prime is 13013124401317. The reversal of 13013124401232 is 23210442131031.

13013124401232 is a `hidden beast` number, since 1 + 3 + 0 + 1 + 3 + 1 + 24 + 401 + 232 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 13013124401196 and 13013124401205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5849898 + ... + 7761929.

It is an arithmetic number, because the mean of its divisors is an integer number (467117101476).

Almost surely, 2^{13013124401232} is an apocalyptic number.

13013124401232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13013124401232 is an abundant number, since it is smaller than the sum of its proper divisors (24356243716848).

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

13013124401232 is a wasteful number, since it uses less digits than its factorization.

13013124401232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13614057 (or 13614045 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 13013124401232 its reverse (23210442131031), we get a palindrome (36223566532263).

It can be divided in two parts, 1301312 and 4401232, that added together give a square (5702544 = 2388²).

The spelling of 13013124401232 in words is "thirteen trillion, thirteen billion, one hundred twenty-four million, four hundred one thousand, two hundred thirty-two".