10088013 has 16 divisors (see below), whose sum is σ = 14878976. Its totient is φ = 6039360.

The previous prime is 10088003. The next prime is 10088017. The reversal of 10088013 is 31088001.

It is a happy number.

10088013 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10088013 - 2¹⁷ = 9956941 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10088017) 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, 2053 + ... + 4938.

It is an arithmetic number, because the mean of its divisors is an integer number (929936).

Almost surely, 2^10088013 is an apocalyptic number.

10088013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10088013 is a deficient number, since it is larger than the sum of its proper divisors (4790963).

10088013 is a wasteful number, since it uses less digits than its factorization.

10088013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7044.

The product of its (nonzero) digits is 192, while the sum is 21.

The square root of 10088013 is about 3176.1632514718. The cubic root of 10088013 is about 216.0736845660.

The spelling of 10088013 in words is "ten million, eighty-eight thousand, thirteen".