31300013 has 2 divisors, whose sum is σ = 31300014. Its totient is φ = 31300012.

The previous prime is 31300007. The next prime is 31300021. The reversal of 31300013 is 31000313.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 30052324 + 1247689 = 5482^2 + 1117^2 .

It is an emirp because it is prime and its reverse (31000313) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 31300013 - 2⁴ = 31299997 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 31299967 and 31300003.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (31300613) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15650006 + 15650007.

It is an arithmetic number, because the mean of its divisors is an integer number (15650007).

Almost surely, 2^31300013 is an apocalyptic number.

It is an amenable number.

31300013 is a deficient number, since it is larger than the sum of its proper divisors (1).

31300013 is an equidigital number, since it uses as much as digits as its factorization.

31300013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 27, while the sum is 11.

The square root of 31300013 is about 5594.6414541059. The cubic root of 31300013 is about 315.1482060629.

Adding to 31300013 its reverse (31000313), we get a palindrome (62300326).

The spelling of 31300013 in words is "thirty-one million, three hundred thousand, thirteen".