113202121320 has 128 divisors (see below), whose sum is σ = 377478662400. Its totient is φ = 30176172288.

The previous prime is 113202121297. The next prime is 113202121337. The reversal of 113202121320 is 23121202311.

113202121320 is a `hidden beast` number, since 1 + 1 + 320 + 2 + 1 + 21 + 320 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 113202121293 and 113202121302.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3175837 + ... + 3211283.

It is an arithmetic number, because the mean of its divisors is an integer number (2949052050).

Almost surely, 2^113202121320 is an apocalyptic number.

113202121320 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 113202121320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188739331200).

113202121320 is an abundant number, since it is smaller than the sum of its proper divisors (264276541080).

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

113202121320 is a wasteful number, since it uses less digits than its factorization.

113202121320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38424 (or 38414 counting only the distinct ones).

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

Adding to 113202121320 its reverse (23121202311), we get a palindrome (136323323631).

The spelling of 113202121320 in words is "one hundred thirteen billion, two hundred two million, one hundred twenty-one thousand, three hundred twenty".