13037713 has 16 divisors (see below), whose sum is σ = 14655312. Its totient is φ = 11520000.

The previous prime is 13037707. The next prime is 13037719. The reversal of 13037713 is 31773031.

It is an interprime number because it is at equal distance from previous prime (13037707) and next prime (13037719).

It can be written as a sum of positive squares in 8 ways, for example, as 2331729 + 10705984 = 1527^2 + 3272^2 .

It is a cyclic number.

It is not a de Polignac number, because 13037713 - 2⁵ = 13037681 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13037719) 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, 32313 + ... + 32713.

It is an arithmetic number, because the mean of its divisors is an integer number (915957).

Almost surely, 2^13037713 is an apocalyptic number.

13037713 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13037713 is a deficient number, since it is larger than the sum of its proper divisors (1617599).

13037713 is a wasteful number, since it uses less digits than its factorization.

13037713 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516.

The product of its (nonzero) digits is 1323, while the sum is 25.

The square root of 13037713 is about 3610.7773401305. Note that the first 3 decimals coincide. The cubic root of 13037713 is about 235.3606233193.

The spelling of 13037713 in words is "thirteen million, thirty-seven thousand, seven hundred thirteen".