13122993 has 32 divisors (see below), whose sum is σ = 20039040. Its totient is φ = 7580160.

The previous prime is 13122983. The next prime is 13123003. The reversal of 13122993 is 39922131.

It is a happy number.

13122993 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13122983) and next prime (13123003).

It is not a de Polignac number, because 13122993 - 2⁸ = 13122737 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13122993.

It is not an unprimeable number, because it can be changed into a prime (13122953) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46230 + ... + 46512.

It is an arithmetic number, because the mean of its divisors is an integer number (626220).

Almost surely, 2^13122993 is an apocalyptic number.

13122993 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13122993 is a deficient number, since it is larger than the sum of its proper divisors (6916047).

13122993 is a wasteful number, since it uses less digits than its factorization.

13122993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369.

The product of its digits is 2916, while the sum is 30.

The square root of 13122993 is about 3622.5671836420. The cubic root of 13122993 is about 235.8726750228.

The spelling of 13122993 in words is "thirteen million, one hundred twenty-two thousand, nine hundred ninety-three".