2002107100513 has 12 divisors (see below), whose sum is σ = 2168084773740. Its totient is φ = 1847994310656.

The previous prime is 2002107100507. The next prime is 2002107100517. The reversal of 2002107100513 is 3150017012002.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 104013990144 + 1898093110369 = 322512^2 + 1377713^2 .

It is not a de Polignac number, because 2002107100513 - 2⁵ = 2002107100481 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2002107100517) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2744545 + ... + 3396577.

It is an arithmetic number, because the mean of its divisors is an integer number (180673731145).

Almost surely, 2^{2002107100513} is an apocalyptic number.

It is an amenable number.

2002107100513 is a deficient number, since it is larger than the sum of its proper divisors (165977673227).

2002107100513 is a wasteful number, since it uses less digits than its factorization.

2002107100513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670228 (or 670215 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 22.

The spelling of 2002107100513 in words is "two trillion, two billion, one hundred seven million, one hundred thousand, five hundred thirteen".