21013131031200 has 3888 divisors, whose sum is σ = 101470259925216. Its totient is φ = 4044166963200.

The previous prime is 21013131031169. The next prime is 21013131031237. The reversal of 21013131031200 is 213013131012.

21013131031200 is a `hidden beast` number, since 2 + 10 + 1 + 31 + 310 + 312 + 0 + 0 = 666.

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 647 ways as a sum of consecutive naturals, for example, 74251346259 + ... + 74251346541.

It is an arithmetic number, because the mean of its divisors is an integer number (26098317882).

Almost surely, 2^{21013131031200} is an apocalyptic number.

21013131031200 is a gapful number since it is divisible by the number (20) 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 21013131031200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50735129962608).

21013131031200 is an abundant number, since it is smaller than the sum of its proper divisors (80457128894016).

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

21013131031200 is a wasteful number, since it uses less digits than its factorization.

21013131031200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 21013131031200 its reverse (213013131012), we get a palindrome (21226144162212).

The spelling of 21013131031200 in words is "twenty-one trillion, thirteen billion, one hundred thirty-one million, thirty-one thousand, two hundred".