113130100320 has 192 divisors, whose sum is σ = 362648482560. Its totient is φ = 29638084608.

The previous prime is 113130100319. The next prime is 113130100327. The reversal of 113130100320 is 23001031311.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 113130100320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113130100327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12505719 + ... + 12514761.

It is an arithmetic number, because the mean of its divisors is an integer number (1888794180).

Almost surely, 2^113130100320 is an apocalyptic number.

113130100320 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 113130100320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181324241280).

113130100320 is an abundant number, since it is smaller than the sum of its proper divisors (249518382240).

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

113130100320 is a wasteful number, since it uses less digits than its factorization.

113130100320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9517 (or 9509 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 113130100320 its reverse (23001031311), we get a palindrome (136131131631).

The spelling of 113130100320 in words is "one hundred thirteen billion, one hundred thirty million, one hundred thousand, three hundred twenty".