10210002013 has 16 divisors (see below), whose sum is σ = 11219345280. Its totient is φ = 9248209344.

The previous prime is 10210002007. The next prime is 10210002043. The reversal of 10210002013 is 31020001201.

It is a cyclic number.

It is not a de Polignac number, because 10210002013 - 2¹⁷ = 10209870941 is a prime.

It is a super-2 number, since 2×10210002013² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10210002043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1803295 + ... + 1808947.

It is an arithmetic number, because the mean of its divisors is an integer number (701209080).

Almost surely, 2^10210002013 is an apocalyptic number.

It is an amenable number.

10210002013 is a deficient number, since it is larger than the sum of its proper divisors (1009343267).

10210002013 is a wasteful number, since it uses less digits than its factorization.

10210002013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9828.

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 10210002013 its reverse (31020001201), we get a palindrome (41230003214).

The spelling of 10210002013 in words is "ten billion, two hundred ten million, two thousand, thirteen".