13413736200 has 96 divisors (see below), whose sum is σ = 41964278400. Its totient is φ = 3544162560.

The previous prime is 13413736181. The next prime is 13413736211. The reversal of 13413736200 is 263731431.

13413736200 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 (30).

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 23 ways as a sum of consecutive naturals, for example, 37152 + ... + 167951.

It is an arithmetic number, because the mean of its divisors is an integer number (437127900).

Almost surely, 2^13413736200 is an apocalyptic number.

13413736200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13413736200 is an abundant number, since it is smaller than the sum of its proper divisors (28550542200).

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

13413736200 is a wasteful number, since it uses less digits than its factorization.

13413736200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205231 (or 205222 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 30.

The spelling of 13413736200 in words is "thirteen billion, four hundred thirteen million, seven hundred thirty-six thousand, two hundred".