3131020201313 has 8 divisors (see below), whose sum is σ = 3162100289256. Its totient is φ = 3099941680000.

The previous prime is 3131020201307. The next prime is 3131020201321.

3131020201313 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 171770460304 + 2959249741009 = 414452^2 + 1720247^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 3131020201313 - 2³⁴ = 3113840332129 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3131020201303) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3852413 + ... + 4593813.

It is an arithmetic number, because the mean of its divisors is an integer number (395262536157).

Almost surely, 2^{3131020201313} is an apocalyptic number.

It is an amenable number.

3131020201313 is a deficient number, since it is larger than the sum of its proper divisors (31080087943).

3131020201313 is a wasteful number, since it uses less digits than its factorization.

3131020201313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 783315.

The product of its (nonzero) digits is 324, while the sum is 20.

It can be divided in two parts, 3131020 and 201313, that added together give a palindrome (3332333).

The spelling of 3131020201313 in words is "three trillion, one hundred thirty-one billion, twenty million, two hundred one thousand, three hundred thirteen".