12313013011200 has 1296 divisors, whose sum is σ = 49303325635200. Its totient is φ = 2906490470400.

The previous prime is 12313013011181. The next prime is 12313013011207. The reversal of 12313013011200 is 211031031321.

12313013011200 is a `hidden beast` number, since 12 + 31 + 301 + 301 + 1 + 20 + 0 = 666.

It is a super-2 number, since 2×12313013011200² (a number of 27 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (12313013011207) 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, 3778155171 + ... + 3778158429.

Almost surely, 2^{12313013011200} is an apocalyptic number.

12313013011200 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 12313013011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24651662817600).

12313013011200 is an abundant number, since it is smaller than the sum of its proper divisors (36990312624000).

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

12313013011200 is a wasteful number, since it uses less digits than its factorization.

12313013011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3458 (or 3436 counting only the distinct ones).

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

Adding to 12313013011200 its reverse (211031031321), we get a palindrome (12524044042521).

The spelling of 12313013011200 in words is "twelve trillion, three hundred thirteen billion, thirteen million, eleven thousand, two hundred".