1313130020013 has 18 divisors (see below), whose sum is σ = 2206415748654. Its totient is φ = 750360011184.

The previous prime is 1313130020011. The next prime is 1313130020021. The reversal of 1313130020013 is 3100200313131.

It is a happy number.

1313130020013 is a `hidden beast` number, since 131 + 31 + 300 + 200 + 1 + 3 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1060656933924 + 252473086089 = 1029882^2 + 502467^2 .

It is not a de Polignac number, because 1313130020013 - 2¹ = 1313130020011 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313130020011) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1488809106 + ... + 1488809987.

It is an arithmetic number, because the mean of its divisors is an integer number (122578652703).

Almost surely, 2^{1313130020013} is an apocalyptic number.

It is an amenable number.

1313130020013 is a deficient number, since it is larger than the sum of its proper divisors (893285728641).

1313130020013 is a wasteful number, since it uses less digits than its factorization.

1313130020013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2977619113 (or 2977619103 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 1313130020013 its reverse (3100200313131), we get a palindrome (4413330333144).

The spelling of 1313130020013 in words is "one trillion, three hundred thirteen billion, one hundred thirty million, twenty thousand, thirteen".