313131011001 has 24 divisors (see below), whose sum is σ = 432635371584. Its totient is φ = 201446481600.

The previous prime is 313131010987. The next prime is 313131011023. The reversal of 313131011001 is 100110131313.

It is not a de Polignac number, because 313131011001 - 2¹⁰ = 313131009977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (313131011201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4763580 + ... + 4828866.

It is an arithmetic number, because the mean of its divisors is an integer number (18026473816).

Almost surely, 2^313131011001 is an apocalyptic number.

It is an amenable number.

313131011001 is a deficient number, since it is larger than the sum of its proper divisors (119504360583).

313131011001 is a wasteful number, since it uses less digits than its factorization.

313131011001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67249 (or 67220 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 15.

Adding to 313131011001 its reverse (100110131313), we get a palindrome (413241142314).

The spelling of 313131011001 in words is "three hundred thirteen billion, one hundred thirty-one million, eleven thousand, one".