113102101020 has 96 divisors (see below), whose sum is σ = 323726457600. Its totient is φ = 29496513024.

The previous prime is 113102101009. The next prime is 113102101061. The reversal of 113102101020 is 20101201311.

113102101020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 113102100987 and 113102101005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 457576 + ... + 659984.

It is an arithmetic number, because the mean of its divisors is an integer number (3372150600).

Almost surely, 2^113102101020 is an apocalyptic number.

113102101020 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 113102101020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161863228800).

113102101020 is an abundant number, since it is smaller than the sum of its proper divisors (210624356580).

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

113102101020 is a wasteful number, since it uses less digits than its factorization.

113102101020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202627 (or 202625 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 113102101020 its reverse (20101201311), we get a palindrome (133203302331).

The spelling of 113102101020 in words is "one hundred thirteen billion, one hundred two million, one hundred one thousand, twenty".