2002013131020 has 96 divisors (see below), whose sum is σ = 6407783424000. Its totient is φ = 457507186944.

The previous prime is 2002013130989. The next prime is 2002013131031. The reversal of 2002013131020 is 201313102002.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1518946 + ... + 2512214.

It is an arithmetic number, because the mean of its divisors is an integer number (66747744000).

Almost surely, 2^{2002013131020} is an apocalyptic number.

2002013131020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002013131020 is an abundant number, since it is smaller than the sum of its proper divisors (4405770292980).

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

2002013131020 is a wasteful number, since it uses less digits than its factorization.

2002013131020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 998087 (or 998085 counting only the distinct ones).

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

Adding to 2002013131020 its reverse (201313102002), we get a palindrome (2203326233022).

The spelling of 2002013131020 in words is "two trillion, two billion, thirteen million, one hundred thirty-one thousand, twenty".