10112013 has 16 divisors (see below), whose sum is σ = 15029760. Its totient is φ = 6719328.

The previous prime is 10111993. The next prime is 10112027. The reversal of 10112013 is 31021101.

It is not a de Polignac number, because 10112013 - 2⁶ = 10111949 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 = 10111986 and 10112004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10112083) 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, 16081 + ... + 16697.

It is an arithmetic number, because the mean of its divisors is an integer number (939360).

Almost surely, 2^10112013 is an apocalyptic number.

It is an amenable number.

10112013 is a deficient number, since it is larger than the sum of its proper divisors (4917747).

10112013 is an equidigital number, since it uses as much as digits as its factorization.

10112013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1233 (or 1227 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 10112013 is about 3179.9391503612. The cubic root of 10112013 is about 216.2448996982.

Adding to 10112013 its reverse (31021101), we get a palindrome (41133114).

The spelling of 10112013 in words is "ten million, one hundred twelve thousand, thirteen".