113013344400 has 240 divisors, whose sum is σ = 395200532928. Its totient is φ = 27378432000.

The previous prime is 113013344393. The next prime is 113013344407. The reversal of 113013344400 is 4443310311.

It is an interprime number because it is at equal distance from previous prime (113013344393) and next prime (113013344407).

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

It is a super-2 number, since 2×113013344400² (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (113013344407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36918870 + ... + 36921930.

Almost surely, 2^113013344400 is an apocalyptic number.

113013344400 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 113013344400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197600266464).

113013344400 is an abundant number, since it is smaller than the sum of its proper divisors (282187188528).

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

113013344400 is a wasteful number, since it uses less digits than its factorization.

113013344400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5890 (or 5879 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 113013344400 its reverse (4443310311), we get a palindrome (117456654711).

The spelling of 113013344400 in words is "one hundred thirteen billion, thirteen million, three hundred forty-four thousand, four hundred".