13310012013000 has 64 divisors (see below), whose sum is σ = 41527237489920. Its totient is φ = 3549336536000.

The previous prime is 13310012012849. The next prime is 13310012013061. The reversal of 13310012013000 is 31021001331.

13310012013000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 2218332336 + ... + 2218338335.

It is an arithmetic number, because the mean of its divisors is an integer number (648863085780).

Almost surely, 2^{13310012013000} is an apocalyptic number.

13310012013000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13310012013000 is an abundant number, since it is smaller than the sum of its proper divisors (28217225476920).

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

13310012013000 is a wasteful number, since it uses less digits than its factorization.

13310012013000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4436670695 (or 4436670681 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 13310012013000 its reverse (31021001331), we get a palindrome (13341033014331).

The spelling of 13310012013000 in words is "thirteen trillion, three hundred ten billion, twelve million, thirteen thousand".