13013935200 has 1152 divisors, whose sum is σ = 58586250240. Its totient is φ = 2720563200.

The previous prime is 13013935189. The next prime is 13013935201. The reversal of 13013935200 is 253931031.

It is a happy number.

13013935200 is a `hidden beast` number, since 1 + 3 + 0 + 139 + 3 + 520 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13013935201) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 156794359 + ... + 156794441.

It is an arithmetic number, because the mean of its divisors is an integer number (50856120).

Almost surely, 2^13013935200 is an apocalyptic number.

13013935200 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 13013935200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29293125120).

13013935200 is an abundant number, since it is smaller than the sum of its proper divisors (45572315040).

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

13013935200 is a wasteful number, since it uses less digits than its factorization.

13013935200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 27.

The spelling of 13013935200 in words is "thirteen billion, thirteen million, nine hundred thirty-five thousand, two hundred".