113112132213300 has 576 divisors, whose sum is σ = 362518685319168. Its totient is φ = 27003225600000.

The previous prime is 113112132213251. The next prime is 113112132213359. The reversal of 113112132213300 is 3312231211311.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 29789867002 + ... + 29789870798.

It is an arithmetic number, because the mean of its divisors is an integer number (629372717568).

Almost surely, 2^{113112132213300} is an apocalyptic number.

113112132213300 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 113112132213300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181259342659584).

113112132213300 is an abundant number, since it is smaller than the sum of its proper divisors (249406553105868).

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

113112132213300 is a wasteful number, since it uses less digits than its factorization.

113112132213300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4480 (or 4473 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 113112132213300 its reverse (3312231211311), we get a palindrome (116424363424611).

The spelling of 113112132213300 in words is "one hundred thirteen trillion, one hundred twelve billion, one hundred thirty-two million, two hundred thirteen thousand, three hundred".