113211312320 has 224 divisors, whose sum is σ = 293640028416. Its totient is φ = 41405644800.

The previous prime is 113211312301. The next prime is 113211312323. The reversal of 113211312320 is 23213112311.

It is a happy number.

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 = 113211312292 and 113211312301.

It is not an unprimeable number, because it can be changed into a prime (113211312323) 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, 60442904 + ... + 60444776.

It is an arithmetic number, because the mean of its divisors is an integer number (1310892984).

Almost surely, 2^113211312320 is an apocalyptic number.

113211312320 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 113211312320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146820014208).

113211312320 is an abundant number, since it is smaller than the sum of its proper divisors (180428716096).

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

113211312320 is a wasteful number, since it uses less digits than its factorization.

113211312320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2219 (or 2209 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 113211312320 its reverse (23213112311), we get a palindrome (136424424631).

Subtracting from 113211312320 its reverse (23213112311), we obtain a square (89998200009 = 299997²).

The spelling of 113211312320 in words is "one hundred thirteen billion, two hundred eleven million, three hundred twelve thousand, three hundred twenty".