2113322232400 has 60 divisors (see below), whose sum is σ = 5077876576572. Its totient is φ = 845225681920.

The previous prime is 2113322232377. The next prime is 2113322232419. The reversal of 2113322232400 is 42322233112.

It can be written as a sum of positive squares in 6 ways, for example, as 24048565776 + 2089273666624 = 155076^2 + 1445432^2 .

It is a super-2 number, since 2×2113322232400² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3000414 + ... + 3637186.

Almost surely, 2^{2113322232400} is an apocalyptic number.

2113322232400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2113322232400 is an abundant number, since it is smaller than the sum of its proper divisors (2964554344172).

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

2113322232400 is a wasteful number, since it uses less digits than its factorization.

2113322232400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 645088 (or 645077 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 2113322232400 its reverse (42322233112), we get a palindrome (2155644465512).

The spelling of 2113322232400 in words is "two trillion, one hundred thirteen billion, three hundred twenty-two million, two hundred thirty-two thousand, four hundred".