113040304020 has 432 divisors, whose sum is σ = 413164717056. Its totient is φ = 24917760000.

The previous prime is 113040304019. The next prime is 113040304081. The reversal of 113040304020 is 20403040311.

It is a super-3 number, since 3×113040304020³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 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 = 113040303984 and 113040304002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 109640905 + ... + 109641935.

It is an arithmetic number, because the mean of its divisors is an integer number (956399808).

Almost surely, 2^113040304020 is an apocalyptic number.

113040304020 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 113040304020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206582358528).

113040304020 is an abundant number, since it is smaller than the sum of its proper divisors (300124413036).

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

113040304020 is a wasteful number, since it uses less digits than its factorization.

113040304020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1492 (or 1480 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 113040304020 its reverse (20403040311), we get a palindrome (133443344331).

The spelling of 113040304020 in words is "one hundred thirteen billion, forty million, three hundred four thousand, twenty".