1313110513113 has 48 divisors (see below), whose sum is σ = 2156856444864. Its totient is φ = 706082442240.

The previous prime is 1313110513111. The next prime is 1313110513133. The reversal of 1313110513113 is 3113150113131.

It is a happy number.

It is not a de Polignac number, because 1313110513113 - 2¹ = 1313110513111 is a prime.

It is a super-2 number, since 2×1313110513113² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1313110513111) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14616853 + ... + 14706413.

It is an arithmetic number, because the mean of its divisors is an integer number (44934509268).

Almost surely, 2^{1313110513113} is an apocalyptic number.

It is an amenable number.

1313110513113 is a deficient number, since it is larger than the sum of its proper divisors (843745931751).

1313110513113 is a wasteful number, since it uses less digits than its factorization.

1313110513113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95462 (or 95455 counting only the distinct ones).

The product of its (nonzero) digits is 405, while the sum is 24.

Adding to 1313110513113 its reverse (3113150113131), we get a palindrome (4426260626244).

The spelling of 1313110513113 in words is "one trillion, three hundred thirteen billion, one hundred ten million, five hundred thirteen thousand, one hundred thirteen".