13613320400 has 60 divisors (see below), whose sum is σ = 32717218092. Its totient is φ = 5443461120.

The previous prime is 13613320381. The next prime is 13613320403. The reversal of 13613320400 is 402331631.

It can be written as a sum of positive squares in 6 ways, for example, as 2544597136 + 11068723264 = 50444^2 + 105208^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13613320403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2283824 + ... + 2289776.

Almost surely, 2^13613320400 is an apocalyptic number.

13613320400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13613320400 is an abundant number, since it is smaller than the sum of its proper divisors (19103897692).

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

13613320400 is a wasteful number, since it uses less digits than its factorization.

13613320400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11688 (or 11677 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

The spelling of 13613320400 in words is "thirteen billion, six hundred thirteen million, three hundred twenty thousand, four hundred".