3135820285313 has 4 divisors (see below), whose sum is σ = 3212303706948. Its totient is φ = 3059336863680.

The previous prime is 3135820285289. The next prime is 3135820285327.

3135820285313 is nontrivially palindromic in base 10.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 407135877184 + 2728684408129 = 638072^2 + 1651873^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-3135820285313 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3135820285343) 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 3 ways as a sum of consecutive naturals, for example, 38241710756 + ... + 38241710837.

It is an arithmetic number, because the mean of its divisors is an integer number (803075926737).

Almost surely, 2^{3135820285313} is an apocalyptic number.

It is an amenable number.

3135820285313 is a deficient number, since it is larger than the sum of its proper divisors (76483421635).

3135820285313 is an equidigital number, since it uses as much as digits as its factorization.

3135820285313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76483421634.

The product of its (nonzero) digits is 518400, while the sum is 44.

The spelling of 3135820285313 in words is "three trillion, one hundred thirty-five billion, eight hundred twenty million, two hundred eighty-five thousand, three hundred thirteen".