10002313013 has 48 divisors (see below), whose sum is σ = 13500244800. Its totient is φ = 7306951680.

The previous prime is 10002312989. The next prime is 10002313039. The reversal of 10002313013 is 31031320001.

It is not a de Polignac number, because 10002313013 - 2¹⁶ = 10002247477 is a prime.

It is a super-2 number, since 2×10002313013² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10002313213) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 988343 + ... + 998411.

It is an arithmetic number, because the mean of its divisors is an integer number (281255100).

Almost surely, 2^10002313013 is an apocalyptic number.

It is an amenable number.

10002313013 is a deficient number, since it is larger than the sum of its proper divisors (3497931787).

10002313013 is a wasteful number, since it uses less digits than its factorization.

10002313013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10210 (or 10203 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 10002313013 its reverse (31031320001), we get a palindrome (41033633014).

The spelling of 10002313013 in words is "ten billion, two million, three hundred thirteen thousand, thirteen".