13013731 has 2 divisors, whose sum is σ = 13013732. Its totient is φ = 13013730.

The previous prime is 13013717. The next prime is 13013743. The reversal of 13013731 is 13731031.

It is a happy number.

13013731 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is an emirp because it is prime and its reverse (13731031) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13013731 - 2¹³ = 13005539 is a prime.

It is a super-2 number, since 2×13013731² = 338714389080722, which contains 22 as substring.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 13013699 and 13013708.

It is not a weakly prime, because it can be changed into another prime (13013701) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6506865 + 6506866.

It is an arithmetic number, because the mean of its divisors is an integer number (6506866).

Almost surely, 2^13013731 is an apocalyptic number.

13013731 is a deficient number, since it is larger than the sum of its proper divisors (1).

13013731 is an equidigital number, since it uses as much as digits as its factorization.

13013731 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 189, while the sum is 19.

The square root of 13013731 is about 3607.4549200233. The cubic root of 13013731 is about 235.2162247107.

Adding to 13013731 its reverse (13731031), we get a palindrome (26744762).

It can be divided in two parts, 130 and 13731, that added together give a triangular number (13861 = T₁₆₆).

The spelling of 13013731 in words is "thirteen million, thirteen thousand, seven hundred thirty-one".