113001020310400 has 192 divisors, whose sum is σ = 294330469680000. Its totient is φ = 42749937285120.

The previous prime is 113001020310377. The next prime is 113001020310427. The reversal of 113001020310400 is 4013020100311.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34867807 + ... + 37970593.

It is an arithmetic number, because the mean of its divisors is an integer number (1532971196250).

Almost surely, 2^{113001020310400} is an apocalyptic number.

113001020310400 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 113001020310400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147165234840000).

113001020310400 is an abundant number, since it is smaller than the sum of its proper divisors (181329449369600).

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

113001020310400 is a wasteful number, since it uses less digits than its factorization.

113001020310400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3103429 (or 3103412 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 113001020310400 its reverse (4013020100311), we get a palindrome (117014040410711).

The spelling of 113001020310400 in words is "one hundred thirteen trillion, one billion, twenty million, three hundred ten thousand, four hundred".