133302312100020 has 144 divisors (see below), whose sum is σ = 434488525511040. Its totient is φ = 30447776975616.

The previous prime is 133302312099997. The next prime is 133302312100033. The reversal of 133302312100020 is 20001213203331.

It is a super-2 number, since 2×133302312100020² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 133302312100020.

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, 11663304 + ... + 20065823.

It is an arithmetic number, because the mean of its divisors is an integer number (3017281427160).

Almost surely, 2^{133302312100020} is an apocalyptic number.

133302312100020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133302312100020 is an abundant number, since it is smaller than the sum of its proper divisors (301186213411020).

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

133302312100020 is a wasteful number, since it uses less digits than its factorization.

133302312100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31730582 (or 31730573 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 133302312100020 its reverse (20001213203331), we get a palindrome (153303525303351).

The spelling of 133302312100020 in words is "one hundred thirty-three trillion, three hundred two billion, three hundred twelve million, one hundred thousand, twenty".