10300010013 has 12 divisors (see below), whose sum is σ = 15279895228. Its totient is φ = 6681087360.

The previous prime is 10300009969. The next prime is 10300010027. The reversal of 10300010013 is 31001000301.

It can be written as a sum of positive squares in 2 ways, for example, as 7779769209 + 2520240804 = 88203^2 + 50202^2 .

It is not a de Polignac number, because 10300010013 - 2¹⁸ = 10299747869 is a prime.

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

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10300009977 and 10300010004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10300010113) 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, 15465148 + ... + 15465813.

Almost surely, 2^10300010013 is an apocalyptic number.

It is an amenable number.

10300010013 is a deficient number, since it is larger than the sum of its proper divisors (4979885215).

10300010013 is a wasteful number, since it uses less digits than its factorization.

10300010013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30931004 (or 30931001 counting only the distinct ones).

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

Adding to 10300010013 its reverse (31001000301), we get a palindrome (41301010314).

The spelling of 10300010013 in words is "ten billion, three hundred million, ten thousand, thirteen".