1313413535124 has 18 divisors (see below), whose sum is σ = 3320017547210. Its totient is φ = 437804511696.

The previous prime is 1313413535123. The next prime is 1313413535141. The reversal of 1313413535124 is 4215353143131.

1313413535124 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 4 + 135 + 3 + 512 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1264315838724 + 49097696400 = 1124418^2 + 221580^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×1313413535124² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 36483709309 = 1313413535124 / (1 + 3 + 1 + 3 + 4 + 1 + 3 + 5 + 3 + 5 + 1 + 2 + 4).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313413535123) 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, 18241854619 + ... + 18241854690.

Almost surely, 2^{1313413535124} is an apocalyptic number.

It is an amenable number.

1313413535124 is an abundant number, since it is smaller than the sum of its proper divisors (2006604012086).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1313413535124 is a wasteful number, since it uses less digits than its factorization.

1313413535124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36483709319 (or 36483709314 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

Adding to 1313413535124 its reverse (4215353143131), we get a palindrome (5528766678255).

The spelling of 1313413535124 in words is "one trillion, three hundred thirteen billion, four hundred thirteen million, five hundred thirty-five thousand, one hundred twenty-four".