113003600400 has 180 divisors, whose sum is σ = 392488333380. Its totient is φ = 30108595200.

The previous prime is 113003600393. The next prime is 113003600407. The reversal of 113003600400 is 4006300311.

113003600400 is a `hidden beast` number, since 1 + 1 + 300 + 360 + 0 + 4 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (113003600393) and next prime (113003600407).

It can be written as a sum of positive squares in 6 ways, for example, as 3143172096 + 109860428304 = 56064^2 + 331452^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (113003600407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4411630 + ... + 4437170.

It is an arithmetic number, because the mean of its divisors is an integer number (2180490741).

Almost surely, 2^113003600400 is an apocalyptic number.

113003600400 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 113003600400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196244166690).

113003600400 is an abundant number, since it is smaller than the sum of its proper divisors (279484732980).

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

113003600400 is a wasteful number, since it uses less digits than its factorization.

113003600400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26794 (or 26780 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 113003600400 its reverse (4006300311), we get a palindrome (117009900711).

The spelling of 113003600400 in words is "one hundred thirteen billion, three million, six hundred thousand, four hundred".