20131320020100 has 144 divisors (see below), whose sum is σ = 62718195153600. Its totient is φ = 4966929797120.

The previous prime is 20131320020089. The next prime is 20131320020111. The reversal of 20131320020100 is 102002313102.

It is an interprime number because it is at equal distance from previous prime (20131320020089) and next prime (20131320020111).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20131320020100.

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, 33150945 + ... + 33752744.

It is an arithmetic number, because the mean of its divisors is an integer number (435543021900).

Almost surely, 2^{20131320020100} is an apocalyptic number.

20131320020100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20131320020100 is an abundant number, since it is smaller than the sum of its proper divisors (42586875133500).

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

20131320020100 is a wasteful number, since it uses less digits than its factorization.

20131320020100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66903782 (or 66903775 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 20131320020100 its reverse (102002313102), we get a palindrome (20233322333202).

The spelling of 20131320020100 in words is "twenty trillion, one hundred thirty-one billion, three hundred twenty million, twenty thousand, one hundred".