10012113 has 16 divisors (see below), whose sum is σ = 15078400. Its totient is φ = 6564240.

The previous prime is 10012111. The next prime is 10012117. The reversal of 10012113 is 31121001.

It is not a de Polignac number, because 10012113 - 2¹ = 10012111 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 junction number, because it is equal to n+sod(n) for n = 10012095 and 10012104.

It is not an unprimeable number, because it can be changed into a prime (10012111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1393 + ... + 4686.

It is an arithmetic number, because the mean of its divisors is an integer number (942400).

Almost surely, 2^10012113 is an apocalyptic number.

It is an amenable number.

10012113 is a deficient number, since it is larger than the sum of its proper divisors (5066287).

10012113 is an equidigital number, since it uses as much as digits as its factorization.

10012113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6149 (or 6143 counting only the distinct ones).

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

The square root of 10012113 is about 3164.1923140037. The cubic root of 10012113 is about 215.5304227949.

Adding to 10012113 its reverse (31121001), we get a palindrome (41133114).

The spelling of 10012113 in words is "ten million, twelve thousand, one hundred thirteen".