113104113212400 has 240 divisors, whose sum is σ = 366918090739200. Its totient is φ = 29777548769280.

The previous prime is 113104113212399. The next prime is 113104113212459. The reversal of 113104113212400 is 4212311401311.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2656938316 + ... + 2656980884.

It is an arithmetic number, because the mean of its divisors is an integer number (1528825378080).

Almost surely, 2^{113104113212400} is an apocalyptic number.

113104113212400 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 113104113212400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183459045369600).

113104113212400 is an abundant number, since it is smaller than the sum of its proper divisors (253813977526800).

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

113104113212400 is a wasteful number, since it uses less digits than its factorization.

113104113212400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70696 (or 70685 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 113104113212400 its reverse (4212311401311), we get a palindrome (117316424613711).

The spelling of 113104113212400 in words is "one hundred thirteen trillion, one hundred four billion, one hundred thirteen million, two hundred twelve thousand, four hundred".