113140122320 has 80 divisors (see below), whose sum is σ = 278754480000. Its totient is φ = 42586320384.

The previous prime is 113140122307. The next prime is 113140122343. The reversal of 113140122320 is 23221041311.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 113140122292 and 113140122301.

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, 23300 + ... + 476259.

It is an arithmetic number, because the mean of its divisors is an integer number (3484431000).

Almost surely, 2^113140122320 is an apocalyptic number.

113140122320 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 113140122320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139377240000).

113140122320 is an abundant number, since it is smaller than the sum of its proper divisors (165614357680).

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

113140122320 is a wasteful number, since it uses less digits than its factorization.

113140122320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499740 (or 499734 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 113140122320 its reverse (23221041311), we get a palindrome (136361163631).

The spelling of 113140122320 in words is "one hundred thirteen billion, one hundred forty million, one hundred twenty-two thousand, three hundred twenty".