113102233020 has 144 divisors (see below), whose sum is σ = 392860278720. Its totient is φ = 25801003008.

The previous prime is 113102233003. The next prime is 113102233043. The reversal of 113102233020 is 20332201311.

113102233020 is a `hidden beast` number, since 1 + 1 + 310 + 2 + 2 + 330 + 20 = 666.

It is a super-2 number, since 2×113102233020² (a number of 23 digits) contains 22 as substring.

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 = 113102232984 and 113102233002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 553164 + ... + 729516.

It is an arithmetic number, because the mean of its divisors is an integer number (2728196380).

Almost surely, 2^113102233020 is an apocalyptic number.

113102233020 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 113102233020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196430139360).

113102233020 is an abundant number, since it is smaller than the sum of its proper divisors (279758045700).

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

113102233020 is a wasteful number, since it uses less digits than its factorization.

113102233020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176884 (or 176879 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 113102233020 its reverse (20332201311), we get a palindrome (133434434331).

The spelling of 113102233020 in words is "one hundred thirteen billion, one hundred two million, two hundred thirty-three thousand, twenty".