1310100013 has 2 divisors, whose sum is σ = 1310100014. Its totient is φ = 1310100012.

The previous prime is 1310100007. The next prime is 1310100037. The reversal of 1310100013 is 3100010131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 887920804 + 422179209 = 29798^2 + 20547^2 .

It is an emirp because it is prime and its reverse (3100010131) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1310100013 - 2⁵ = 1310099981 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1310100713) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 655050006 + 655050007.

It is an arithmetic number, because the mean of its divisors is an integer number (655050007).

Almost surely, 2^1310100013 is an apocalyptic number.

It is an amenable number.

1310100013 is a deficient number, since it is larger than the sum of its proper divisors (1).

1310100013 is an equidigital number, since it uses as much as digits as its factorization.

1310100013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9, while the sum is 10.

The square root of 1310100013 is about 36195.3037423365. The cubic root of 1310100013 is about 1094.2120261110.

Adding to 1310100013 its reverse (3100010131), we get a palindrome (4410110144).

The spelling of 1310100013 in words is "one billion, three hundred ten million, one hundred thousand, thirteen".