13737313 has 4 divisors (see below), whose sum is σ = 13873428. Its totient is φ = 13601200.

The previous prime is 13737307. The next prime is 13737319. The reversal of 13737313 is 31373731.

13737313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes.

It is an interprime number because it is at equal distance from previous prime (13737307) and next prime (13737319).

It can be written as a sum of positive squares in 2 ways, for example, as 9314704 + 4422609 = 3052^2 + 2103^2 .

It is a cyclic number.

It is not a de Polignac number, because 13737313 - 2⁵ = 13737281 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13737319) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 67906 + ... + 68107.

It is an arithmetic number, because the mean of its divisors is an integer number (3468357).

Almost surely, 2^13737313 is an apocalyptic number.

It is an amenable number.

13737313 is a deficient number, since it is larger than the sum of its proper divisors (136115).

13737313 is a wasteful number, since it uses less digits than its factorization.

13737313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136114.

The product of its digits is 3969, while the sum is 28.

The square root of 13737313 is about 3706.3881340194. The cubic root of 13737313 is about 239.4972868535.

The spelling of 13737313 in words is "thirteen million, seven hundred thirty-seven thousand, three hundred thirteen".