10301000013 has 64 divisors (see below), whose sum is σ = 16356556800. Its totient is φ = 6392917440.

The previous prime is 10300999963. The next prime is 10301000029. The reversal of 10301000013 is 31000010301.

It is not a de Polignac number, because 10301000013 - 2²⁵ = 10267445581 is a prime.

It is a super-2 number, since 2×10301000013² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10300999959 and 10301000004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10301000513) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 8422120 + ... + 8423342.

It is an arithmetic number, because the mean of its divisors is an integer number (255571200).

Almost surely, 2^10301000013 is an apocalyptic number.

It is an amenable number.

10301000013 is a deficient number, since it is larger than the sum of its proper divisors (6055556787).

10301000013 is a wasteful number, since it uses less digits than its factorization.

10301000013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1639 (or 1633 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 9.

Adding to 10301000013 its reverse (31000010301), we get a palindrome (41301010314).

The spelling of 10301000013 in words is "ten billion, three hundred one million, thirteen", and thus it is an aban number.