13052318400 has 672 divisors, whose sum is σ = 52565564160. Its totient is φ = 3150259200.

The previous prime is 13052318387. The next prime is 13052318443. The reversal of 13052318400 is 481325031.

It is a happy number.

13052318400 is a `hidden beast` number, since 1 + 305 + 2 + 318 + 40 + 0 = 666.

It is a super-2 number, since 2×13052318400² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 57499087 + ... + 57499313.

Almost surely, 2^13052318400 is an apocalyptic number.

13052318400 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 13052318400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26282782080).

13052318400 is an abundant number, since it is smaller than the sum of its proper divisors (39513245760).

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

13052318400 is a wasteful number, since it uses less digits than its factorization.

13052318400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 13052318400 in words is "thirteen billion, fifty-two million, three hundred eighteen thousand, four hundred".