113001431040 has 204 divisors, whose sum is σ = 391745529084. Its totient is φ = 30132928512.

The previous prime is 113001431027. The next prime is 113001431063. The reversal of 113001431040 is 40134100311.

113001431040 is a `hidden beast` number, since 1 + 1 + 300 + 14 + 310 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 57048367104 + 55953063936 = 238848^2 + 236544^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2929962 + ... + 2968278.

It is an arithmetic number, because the mean of its divisors is an integer number (1920321221).

Almost surely, 2^113001431040 is an apocalyptic number.

113001431040 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 113001431040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195872764542).

113001431040 is an abundant number, since it is smaller than the sum of its proper divisors (278744098044).

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

113001431040 is an frugal number, since it uses more digits than its factorization.

113001431040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38360 (or 38327 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 113001431040 its reverse (40134100311), we get a palindrome (153135531351).

The spelling of 113001431040 in words is "one hundred thirteen billion, one million, four hundred thirty-one thousand, forty".