1013131320013 has 4 divisors (see below), whose sum is σ = 1014161973408. Its totient is φ = 1012100666620.

The previous prime is 1013131319989. The next prime is 1013131320023. The reversal of 1013131320013 is 3100231313101.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1013131320013 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013131320023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 515325223 + ... + 515327188.

It is an arithmetic number, because the mean of its divisors is an integer number (253540493352).

Almost surely, 2^{1013131320013} is an apocalyptic number.

It is an amenable number.

1013131320013 is a deficient number, since it is larger than the sum of its proper divisors (1030653395).

1013131320013 is an equidigital number, since it uses as much as digits as its factorization.

1013131320013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1030653394.

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 1013131320013 its reverse (3100231313101), we get a palindrome (4113362633114).

The spelling of 1013131320013 in words is "one trillion, thirteen billion, one hundred thirty-one million, three hundred twenty thousand, thirteen".