2001013313100 has 72 divisors (see below), whose sum is σ = 5871142222848. Its totient is φ = 526088001600.

The previous prime is 2001013313093. The next prime is 2001013313111. The reversal of 2001013313100 is 13133101002.

It is a super-2 number, since 2×2001013313100² (a number of 25 digits) contains 22 as substring.

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 2001013313100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46950844 + ... + 46993443.

It is an arithmetic number, because the mean of its divisors is an integer number (81543641984).

Almost surely, 2^{2001013313100} is an apocalyptic number.

2001013313100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2001013313100 is an abundant number, since it is smaller than the sum of its proper divisors (3870128909748).

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

2001013313100 is a wasteful number, since it uses less digits than its factorization.

2001013313100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93944375 (or 93944368 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 2001013313100 its reverse (13133101002), we get a palindrome (2014146414102).

The spelling of 2001013313100 in words is "two trillion, one billion, thirteen million, three hundred thirteen thousand, one hundred".