13515352100 has 72 divisors (see below), whose sum is σ = 30304393728. Its totient is φ = 5226566400.

The previous prime is 13515352073. The next prime is 13515352127. The reversal of 13515352100 is 125351531.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13515352073) and next prime (13515352127).

It is a self number, because there is not a number n which added to its sum of digits gives 13515352100.

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, 4980344 + ... + 4983056.

Almost surely, 2^13515352100 is an apocalyptic number.

13515352100 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 13515352100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15152196864).

13515352100 is an abundant number, since it is smaller than the sum of its proper divisors (16789041628).

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

13515352100 is a wasteful number, since it uses less digits than its factorization.

13515352100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4365 (or 4358 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 26.

The spelling of 13515352100 in words is "thirteen billion, five hundred fifteen million, three hundred fifty-two thousand, one hundred".