113332123221020 has 192 divisors, whose sum is σ = 283044588503040. Its totient is φ = 37673749612800.

The previous prime is 113332123221007. The next prime is 113332123221043. The reversal of 113332123221020 is 20122321233311.

113332123221020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9886187 + ... + 18011133.

It is an arithmetic number, because the mean of its divisors is an integer number (1474190565120).

Almost surely, 2^{113332123221020} is an apocalyptic number.

113332123221020 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 113332123221020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141522294251520).

113332123221020 is an abundant number, since it is smaller than the sum of its proper divisors (169712465282020).

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

113332123221020 is a wasteful number, since it uses less digits than its factorization.

113332123221020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8125104 (or 8125102 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 113332123221020 its reverse (20122321233311), we get a palindrome (133454444454331).

The spelling of 113332123221020 in words is "one hundred thirteen trillion, three hundred thirty-two billion, one hundred twenty-three million, two hundred twenty-one thousand, twenty".