1013131330113 has 16 divisors (see below), whose sum is σ = 1543834772480. Its totient is φ = 578926337616.

The previous prime is 1013131330067. The next prime is 1013131330147. The reversal of 1013131330113 is 3110331313101.

It is not a de Polignac number, because 1013131330113 - 2¹⁴ = 1013131313729 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 1013131330113.

It is not an unprimeable number, because it can be changed into a prime (1013131330213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2723358 + ... + 3072936.

It is an arithmetic number, because the mean of its divisors is an integer number (96489673280).

Almost surely, 2^{1013131330113} is an apocalyptic number.

It is an amenable number.

1013131330113 is a deficient number, since it is larger than the sum of its proper divisors (530703442367).

1013131330113 is a wasteful number, since it uses less digits than its factorization.

1013131330113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487596.

The product of its (nonzero) digits is 243, while the sum is 21.

Adding to 1013131330113 its reverse (3110331313101), we get a palindrome (4123462643214).

The spelling of 1013131330113 in words is "one trillion, thirteen billion, one hundred thirty-one million, three hundred thirty thousand, one hundred thirteen".