13101312232032 has 48 divisors (see below), whose sum is σ = 34404066576432. Its totient is φ = 4365437795840.

The previous prime is 13101312231989. The next prime is 13101312232033. The reversal of 13101312232032 is 23023221310131.

13101312232032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 13101312231993 and 13101312232011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13101312232033) 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, 25782723 + ... + 26285954.

It is an arithmetic number, because the mean of its divisors is an integer number (716751387009).

Almost surely, 2^{13101312232032} is an apocalyptic number.

13101312232032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13101312232032 is an abundant number, since it is smaller than the sum of its proper divisors (21302754344400).

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

13101312232032 is a wasteful number, since it uses less digits than its factorization.

13101312232032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52071311 (or 52071303 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 13101312232032 its reverse (23023221310131), we get a palindrome (36124533542163).

The spelling of 13101312232032 in words is "thirteen trillion, one hundred one billion, three hundred twelve million, two hundred thirty-two thousand, thirty-two".