23131134421200 has 720 divisors, whose sum is σ = 87292188984000. Its totient is φ = 5638284288000.

The previous prime is 23131134421181. The next prime is 23131134421207. The reversal of 23131134421200 is 212443113132.

23131134421200 is a `hidden beast` number, since 2 + 3 + 1 + 3 + 1 + 1 + 34 + 421 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×23131134421200² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23131134421207) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3059265420 + ... + 3059272980.

Almost surely, 2^{23131134421200} is an apocalyptic number.

23131134421200 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 23131134421200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43646094492000).

23131134421200 is an abundant number, since it is smaller than the sum of its proper divisors (64161054562800).

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

23131134421200 is a wasteful number, since it uses less digits than its factorization.

23131134421200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8228 (or 8214 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 23131134421200 its reverse (212443113132), we get a palindrome (23343577534332).

The spelling of 23131134421200 in words is "twenty-three trillion, one hundred thirty-one billion, one hundred thirty-four million, four hundred twenty-one thousand, two hundred".