2313513705600 has 480 divisors, whose sum is σ = 8543120058000. Its totient is φ = 616521922560.

The previous prime is 2313513705599. The next prime is 2313513705707. The reversal of 2313513705600 is 65073153132.

2313513705600 is a `hidden beast` number, since 2 + 3 + 1 + 35 + 13 + 7 + 0 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 699579147 + ... + 699582453.

Almost surely, 2^{2313513705600} is an apocalyptic number.

2313513705600 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 2313513705600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4271560029000).

2313513705600 is an abundant number, since it is smaller than the sum of its proper divisors (6229606352400).

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

2313513705600 is a wasteful number, since it uses less digits than its factorization.

2313513705600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6042 (or 6016 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 36.

Adding to 2313513705600 its reverse (65073153132), we get a palindrome (2378586858732).

The spelling of 2313513705600 in words is "two trillion, three hundred thirteen billion, five hundred thirteen million, seven hundred five thousand, six hundred".