113332000302020 has 72 divisors (see below), whose sum is σ = 257590755551304. Its totient is φ = 41861142728704.

The previous prime is 113332000302013. The next prime is 113332000302047. The reversal of 113332000302020 is 20203000233311.

It can be written as a sum of positive squares in 12 ways, for example, as 306014750596 + 113025985551424 = 553186^2 + 10631368^2 .

It is a super-2 number, since 2×113332000302020² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 113332000301983 and 113332000302001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 184671137 + ... + 185283816.

It is an arithmetic number, because the mean of its divisors is an integer number (3577649382657).

Almost surely, 2^{113332000302020} is an apocalyptic number.

113332000302020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113332000302020 is an abundant number, since it is smaller than the sum of its proper divisors (144258755249284).

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

113332000302020 is a wasteful number, since it uses less digits than its factorization.

113332000302020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369955049 (or 369955030 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 113332000302020 its reverse (20203000233311), we get a palindrome (133535000535331).

The spelling of 113332000302020 in words is "one hundred thirteen trillion, three hundred thirty-two billion, three hundred two thousand, twenty".