13321332013000 has 96 divisors (see below), whose sum is σ = 34263346997880. Its totient is φ = 4844120688000.

The previous prime is 13321332012991. The next prime is 13321332013049. The reversal of 13321332013000 is 31023312331.

13321332013000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 4527983944836 + 8793348068164 = 2127906^2 + 2965358^2 .

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54925827 + ... + 55167826.

Almost surely, 2^{13321332013000} is an apocalyptic number.

13321332013000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13321332013000 is an abundant number, since it is smaller than the sum of its proper divisors (20942014984880).

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

13321332013000 is a wasteful number, since it uses less digits than its factorization.

13321332013000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110093696 (or 110093671 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 13321332013000 its reverse (31023312331), we get a palindrome (13352355325331).

The spelling of 13321332013000 in words is "thirteen trillion, three hundred twenty-one billion, three hundred thirty-two million, thirteen thousand".