3131001213313 has 8 divisors (see below), whose sum is σ = 3162331135656. Its totient is φ = 3099677760000.

The previous prime is 3131001213299. The next prime is 3131001213343. The reversal of 3131001213313 is 3133121001313.

3131001213313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2724457251649 + 406543961664 = 1650593^2 + 637608^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-3131001213313 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3131001213343) 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, 641488 + ... + 2583313.

It is an arithmetic number, because the mean of its divisors is an integer number (395291391957).

Almost surely, 2^{3131001213313} is an apocalyptic number.

It is an amenable number.

3131001213313 is a deficient number, since it is larger than the sum of its proper divisors (31329922343).

3131001213313 is a wasteful number, since it uses less digits than its factorization.

3131001213313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3234515.

The product of its (nonzero) digits is 486, while the sum is 22.

Adding to 3131001213313 its reverse (3133121001313), we get a palindrome (6264122214626).

The spelling of 3131001213313 in words is "three trillion, one hundred thirty-one billion, one million, two hundred thirteen thousand, three hundred thirteen".