113012320321200 has 480 divisors, whose sum is σ = 393634837900800. Its totient is φ = 27629137141760.

The previous prime is 113012320321189. The next prime is 113012320321207. The reversal of 113012320321200 is 2123023210311.

It is a super-3 number, since 3×113012320321200³ (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (113012320321207) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 109139491 + ... + 110170109.

It is an arithmetic number, because the mean of its divisors is an integer number (820072578960).

Almost surely, 2^{113012320321200} is an apocalyptic number.

113012320321200 is a gapful number since it is divisible by the number (10) 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 113012320321200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196817418950400).

113012320321200 is an abundant number, since it is smaller than the sum of its proper divisors (280622517579600).

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

113012320321200 is a wasteful number, since it uses less digits than its factorization.

113012320321200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1030829 (or 1030818 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 113012320321200 its reverse (2123023210311), we get a palindrome (115135343531511).

The spelling of 113012320321200 in words is "one hundred thirteen trillion, twelve billion, three hundred twenty million, three hundred twenty-one thousand, two hundred".