13183632400 has 45 divisors (see below), whose sum is σ = 31679194903. Its totient is φ = 5272534400.

The previous prime is 13183632331. The next prime is 13183632403. The reversal of 13183632400 is 423638131.

The square root of 13183632400 is 114820.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 264127504 + 12919504896 = 16252^2 + 113664^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13183632403) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2293530 + ... + 2299270.

Almost surely, 2^13183632400 is an apocalyptic number.

13183632400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13183632400 is the 114820-th square number.

It is an amenable number.

13183632400 is an abundant number, since it is smaller than the sum of its proper divisors (18495562503).

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

13183632400 is an frugal number, since it uses more digits than its factorization.

13183632400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11500 (or 5748 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The spelling of 13183632400 in words is "thirteen billion, one hundred eighty-three million, six hundred thirty-two thousand, four hundred".