13013331310032 has 20 divisors (see below), whose sum is σ = 33617772551040. Its totient is φ = 4337777103328.

The previous prime is 13013331310013. The next prime is 13013331310033. The reversal of 13013331310032 is 23001313331031.

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 = 13013331309984 and 13013331310011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13013331310033) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 135555534432 + ... + 135555534527.

It is an arithmetic number, because the mean of its divisors is an integer number (1680888627552).

Almost surely, 2^{13013331310032} is an apocalyptic number.

13013331310032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13013331310032 is an abundant number, since it is smaller than the sum of its proper divisors (20604441241008).

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

13013331310032 is a wasteful number, since it uses less digits than its factorization.

13013331310032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271111068970 (or 271111068964 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 24.

Adding to 13013331310032 its reverse (23001313331031), we get a palindrome (36014644641063).

The spelling of 13013331310032 in words is "thirteen trillion, thirteen billion, three hundred thirty-one million, three hundred ten thousand, thirty-two".