113313220398 has 144 divisors (see below), whose sum is σ = 289879200000. Its totient is φ = 31891545504.

The previous prime is 113313220393. The next prime is 113313220399. The reversal of 113313220398 is 893022313311.

It is a happy number.

113313220398 is a `hidden beast` number, since 1 + 1 + 33 + 13 + 220 + 398 = 666.

113313220398 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113313220393) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 34767693 + ... + 34770951.

It is an arithmetic number, because the mean of its divisors is an integer number (2013050000).

Almost surely, 2^113313220398 is an apocalyptic number.

113313220398 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 113313220398, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144939600000).

113313220398 is an abundant number, since it is smaller than the sum of its proper divisors (176565979602).

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

113313220398 is a wasteful number, since it uses less digits than its factorization.

113313220398 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3859 (or 3849 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 113313220398 in words is "one hundred thirteen billion, three hundred thirteen million, two hundred twenty thousand, three hundred ninety-eight".