1310040013 has 2 divisors, whose sum is σ = 1310040014. Its totient is φ = 1310040012.

The previous prime is 1310039989. The next prime is 1310040029. The reversal of 1310040013 is 3100400131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1247361124 + 62678889 = 35318^2 + 7917^2 .

It is a cyclic number.

It is not a de Polignac number, because 1310040013 - 2⁵ = 1310039981 is a prime.

It is a super-2 number, since 2×1310040013² = 3432409671322080338, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1310039975 and 1310040002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1310050013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 655020006 + 655020007.

It is an arithmetic number, because the mean of its divisors is an integer number (655020007).

Almost surely, 2^1310040013 is an apocalyptic number.

It is an amenable number.

1310040013 is a deficient number, since it is larger than the sum of its proper divisors (1).

1310040013 is an equidigital number, since it uses as much as digits as its factorization.

1310040013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 1310040013 is about 36194.4748960390. The cubic root of 1310040013 is about 1094.1953216042.

Adding to 1310040013 its reverse (3100400131), we get a palindrome (4410440144).

The spelling of 1310040013 in words is "one billion, three hundred ten million, forty thousand, thirteen".