113435320122400 has 72 divisors (see below), whose sum is σ = 276925449269700. Its totient is φ = 45373886530560.

The previous prime is 113435320122359. The next prime is 113435320122409. The reversal of 113435320122400 is 4221023534311.

It can be written as a sum of positive squares in 6 ways, for example, as 65191349181456 + 48243970940944 = 8074116^2 + 6945788^2 .

It is not an unprimeable number, because it can be changed into a prime (113435320122409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 281838102 + ... + 282240298.

Almost surely, 2^{113435320122400} is an apocalyptic number.

113435320122400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113435320122400 is an abundant number, since it is smaller than the sum of its proper divisors (163490129147300).

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

113435320122400 is a wasteful number, since it uses less digits than its factorization.

113435320122400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 754766 (or 754753 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

Adding to 113435320122400 its reverse (4221023534311), we get a palindrome (117656343656711).

The spelling of 113435320122400 in words is "one hundred thirteen trillion, four hundred thirty-five billion, three hundred twenty million, one hundred twenty-two thousand, four hundred".