113193123840 has 288 divisors, whose sum is σ = 402525819360. Its totient is φ = 30180114432.

The previous prime is 113193123817. The next prime is 113193123863. The reversal of 113193123840 is 48321391311.

It is an interprime number because it is at equal distance from previous prime (113193123817) and next prime (113193123863).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 113193123795 and 113193123804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17691522 + ... + 17697918.

It is an arithmetic number, because the mean of its divisors is an integer number (1397659095).

Almost surely, 2^113193123840 is an apocalyptic number.

113193123840 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 113193123840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201262909680).

113193123840 is an abundant number, since it is smaller than the sum of its proper divisors (289332695520).

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

113193123840 is an frugal number, since it uses more digits than its factorization.

113193123840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6445 (or 6407 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 113193123840 in words is "one hundred thirteen billion, one hundred ninety-three million, one hundred twenty-three thousand, eight hundred forty".