10310013 has 24 divisors (see below), whose sum is σ = 17483648. Its totient is φ = 5730912.

The previous prime is 10309969. The next prime is 10310021. The reversal of 10310013 is 31001301.

It is not a de Polignac number, because 10310013 - 2¹⁰ = 10308989 is a prime.

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 = 10309977 and 10310004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10310063) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 120 + ... + 4542.

Almost surely, 2^10310013 is an apocalyptic number.

It is an amenable number.

10310013 is a deficient number, since it is larger than the sum of its proper divisors (7173635).

10310013 is a wasteful number, since it uses less digits than its factorization.

10310013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4473 (or 4470 counting only the distinct ones).

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

The square root of 10310013 is about 3210.9208959425. The cubic root of 10310013 is about 217.6471932697.

Adding to 10310013 its reverse (31001301), we get a palindrome (41311314).

The spelling of 10310013 in words is "ten million, three hundred ten thousand, thirteen".