113313321223200 has 216 divisors, whose sum is σ = 456652684732608. Its totient is φ = 25900187696640.

The previous prime is 113313321223147. The next prime is 113313321223211. The reversal of 113313321223200 is 2322123313311.

113313321223200 is a `hidden beast` number, since 1 + 1 + 3 + 3 + 1 + 332 + 1 + 2 + 2 + 320 + 0 = 666.

It is a super-3 number, since 3×113313321223200³ (a number of 43 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1124089692 + ... + 1124190491.

It is an arithmetic number, because the mean of its divisors is an integer number (2114132799688).

Almost surely, 2^{113313321223200} is an apocalyptic number.

113313321223200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113313321223200 is an abundant number, since it is smaller than the sum of its proper divisors (343339363509408).

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

113313321223200 is a wasteful number, since it uses less digits than its factorization.

113313321223200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2248280216 (or 2248280200 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 113313321223200 its reverse (2322123313311), we get a palindrome (115635444536511).

The spelling of 113313321223200 in words is "one hundred thirteen trillion, three hundred thirteen billion, three hundred twenty-one million, two hundred twenty-three thousand, two hundred".