313131222001 has 8 divisors (see below), whose sum is σ = 338282023464. Its totient is φ = 288132389760.

The previous prime is 313131221941. The next prime is 313131222007. The reversal of 313131222001 is 100222131313.

It can be written as a sum of positive squares in 4 ways, for example, as 27787223025 + 285343998976 = 166695^2 + 534176^2 .

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 313131222001 - 2¹³ = 313131213809 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 313131222001.

It is not an unprimeable number, because it can be changed into a prime (313131222007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37988020 + ... + 37996261.

It is an arithmetic number, because the mean of its divisors is an integer number (42285252933).

Almost surely, 2^313131222001 is an apocalyptic number.

It is an amenable number.

313131222001 is a deficient number, since it is larger than the sum of its proper divisors (25150801463).

313131222001 is a wasteful number, since it uses less digits than its factorization.

313131222001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75984611.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 313131222001 its reverse (100222131313), we get a palindrome (413353353314).

The spelling of 313131222001 in words is "three hundred thirteen billion, one hundred thirty-one million, two hundred twenty-two thousand, one".