13133696400 has 600 divisors, whose sum is σ = 52678083744. Its totient is φ = 3106252800.

The previous prime is 13133696399. The next prime is 13133696461. The reversal of 13133696400 is 469633131.

13133696400 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 3 + 6 + 9 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

It is a super-2 number, since 2×13133696400² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 15324772 + ... + 15325628.

Almost surely, 2^13133696400 is an apocalyptic number.

13133696400 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 13133696400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26339041872).

13133696400 is an abundant number, since it is smaller than the sum of its proper divisors (39544387344).

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

13133696400 is a wasteful number, since it uses less digits than its factorization.

13133696400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 941 (or 921 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The spelling of 13133696400 in words is "thirteen billion, one hundred thirty-three million, six hundred ninety-six thousand, four hundred".