2113313420400 has 240 divisors, whose sum is σ = 8331874059264. Its totient is φ = 445885885440.

The previous prime is 2113313420359. The next prime is 2113313420417. The reversal of 2113313420400 is 40243133112.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×2113313420400² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9567144 + ... + 9785543.

Almost surely, 2^{2113313420400} is an apocalyptic number.

2113313420400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2113313420400 is an abundant number, since it is smaller than the sum of its proper divisors (6218560638864).

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

2113313420400 is a wasteful number, since it uses less digits than its factorization.

2113313420400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19352728 (or 19352717 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 2113313420400 its reverse (40243133112), we get a palindrome (2153556553512).

The spelling of 2113313420400 in words is "two trillion, one hundred thirteen billion, three hundred thirteen million, four hundred twenty thousand, four hundred".