1313114013 has 6 divisors (see below), whose sum is σ = 1896720254. Its totient is φ = 875409336.

The previous prime is 1313113987. The next prime is 1313114071. The reversal of 1313114013 is 3104113131.

It can be written as a sum of positive squares in only one way, i.e., 1183222404 + 129891609 = 34398^2 + 11397^2 .

It is not a de Polignac number, because 1313114013 - 2¹³ = 1313105821 is a prime.

It is a super-2 number, since 2×1313114013² = 3448536822273928338, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313114083) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 72950770 + ... + 72950787.

Almost surely, 2^1313114013 is an apocalyptic number.

It is an amenable number.

1313114013 is a deficient number, since it is larger than the sum of its proper divisors (583606241).

1313114013 is a wasteful number, since it uses less digits than its factorization.

1313114013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145901563 (or 145901560 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 1313114013 is about 36236.9150590941. The cubic root of 1313114013 is about 1095.0504936996.

Adding to 1313114013 its reverse (3104113131), we get a palindrome (4417227144).

The spelling of 1313114013 in words is "one billion, three hundred thirteen million, one hundred fourteen thousand, thirteen".