10513521200 has 120 divisors (see below), whose sum is σ = 31087781088. Its totient is φ = 3327344640.

The previous prime is 10513521181. The next prime is 10513521223. The reversal of 10513521200 is 212531501.

It is a happy number.

It is a super-2 number, since 2×10513521200² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 108017 + ... + 180816.

Almost surely, 2^10513521200 is an apocalyptic number.

10513521200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10513521200 is an abundant number, since it is smaller than the sum of its proper divisors (20574259888).

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

10513521200 is a wasteful number, since it uses less digits than its factorization.

10513521200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288871 (or 288860 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 20.

The spelling of 10513521200 in words is "ten billion, five hundred thirteen million, five hundred twenty-one thousand, two hundred".