10002013123200 has 576 divisors, whose sum is σ = 38847867059520. Its totient is φ = 2254849228800.

The previous prime is 10002013123177. The next prime is 10002013123229. The reversal of 10002013123200 is 232131020001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10002013123200.

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, 34193565 + ... + 34484835.

It is an arithmetic number, because the mean of its divisors is an integer number (67444213645).

Almost surely, 2^{10002013123200} is an apocalyptic number.

10002013123200 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 10002013123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19423933529760).

10002013123200 is an abundant number, since it is smaller than the sum of its proper divisors (28845853936320).

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

10002013123200 is a wasteful number, since it uses less digits than its factorization.

10002013123200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291385 (or 291361 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 10002013123200 its reverse (232131020001), we get a palindrome (10234144143201).

The spelling of 10002013123200 in words is "ten trillion, two billion, thirteen million, one hundred twenty-three thousand, two hundred".