113402104020 has 144 divisors (see below), whose sum is σ = 362562978960. Its totient is φ = 28646811648.

The previous prime is 113402104007. The next prime is 113402104037. The reversal of 113402104020 is 20401204311.

113402104020 is a `hidden beast` number, since 1 + 13 + 40 + 210 + 402 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3843752004 + 109558352016 = 61998^2 + 330996^2 .

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 = 113402103984 and 113402104002.

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, 71712 + ... + 481608.

It is an arithmetic number, because the mean of its divisors is an integer number (2517798465).

Almost surely, 2^113402104020 is an apocalyptic number.

113402104020 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 113402104020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181281489480).

113402104020 is an abundant number, since it is smaller than the sum of its proper divisors (249160874940).

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

113402104020 is a wasteful number, since it uses less digits than its factorization.

113402104020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409994 (or 409989 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 113402104020 its reverse (20401204311), we get a palindrome (133803308331).

The spelling of 113402104020 in words is "one hundred thirteen billion, four hundred two million, one hundred four thousand, twenty".