104013331200 has 648 divisors, whose sum is σ = 394126107648. Its totient is φ = 27127664640.

The previous prime is 104013331187. The next prime is 104013331211. The reversal of 104013331200 is 2133310401.

104013331200 is a `hidden beast` number, since 1 + 0 + 401 + 33 + 31 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 73093689 + ... + 73095111.

Almost surely, 2^104013331200 is an apocalyptic number.

104013331200 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 104013331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197063053824).

104013331200 is an abundant number, since it is smaller than the sum of its proper divisors (290112776448).

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

104013331200 is an equidigital number, since it uses as much as digits as its factorization.

104013331200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1511 (or 1480 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 104013331200 its reverse (2133310401), we get a palindrome (106146641601).

The spelling of 104013331200 in words is "one hundred four billion, thirteen million, three hundred thirty-one thousand, two hundred".