13613013900 has 180 divisors, whose sum is σ = 44267831608. Its totient is φ = 3618639360.

The previous prime is 13613013881. The next prime is 13613013913. The reversal of 13613013900 is 931031631.

13613013900 is a `hidden beast` number, since 13 + 613 + 0 + 1 + 39 + 0 + 0 = 666.

13613013900 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 (180).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2727207 + ... + 2732193.

Almost surely, 2^13613013900 is an apocalyptic number.

13613013900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13613013900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22133915804).

13613013900 is an abundant number, since it is smaller than the sum of its proper divisors (30654817708).

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

13613013900 is a wasteful number, since it uses less digits than its factorization.

13613013900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5350 (or 5334 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

The spelling of 13613013900 in words is "thirteen billion, six hundred thirteen million, thirteen thousand, nine hundred".