2113012231200 has 432 divisors, whose sum is σ = 8037906556680. Its totient is φ = 519235338240.

The previous prime is 2113012231189. The next prime is 2113012231201. The reversal of 2113012231200 is 21322103112.

2113012231200 is a `hidden beast` number, since 21 + 1 + 301 + 223 + 120 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 69816435984 + 2043195795216 = 264228^2 + 1429404^2 .

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 (2113012231201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 55485766 + ... + 55523834.

Almost surely, 2^{2113012231200} is an apocalyptic number.

2113012231200 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 2113012231200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4018953278340).

2113012231200 is an abundant number, since it is smaller than the sum of its proper divisors (5924894325480).

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

2113012231200 is a wasteful number, since it uses less digits than its factorization.

2113012231200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38701 (or 38685 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 2113012231200 its reverse (21322103112), we get a palindrome (2134334334312).

The spelling of 2113012231200 in words is "two trillion, one hundred thirteen billion, twelve million, two hundred thirty-one thousand, two hundred".