313121333001301 has 48 divisors (see below), whose sum is σ = 367922271814272. Its totient is φ = 265338031523840.

The previous prime is 313121333001293. The next prime is 313121333001331. The reversal of 313121333001301 is 103100333121313.

It is not a de Polignac number, because 313121333001301 - 2³ = 313121333001293 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313121333001331) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 850058301 + ... + 850426573.

It is an arithmetic number, because the mean of its divisors is an integer number (7665047329464).

Almost surely, 2^{313121333001301} is an apocalyptic number.

It is an amenable number.

313121333001301 is a deficient number, since it is larger than the sum of its proper divisors (54800938812971).

313121333001301 is a wasteful number, since it uses less digits than its factorization.

313121333001301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372282 (or 372271 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 25.

Adding to 313121333001301 its reverse (103100333121313), we get a palindrome (416221666122614).

The spelling of 313121333001301 in words is "three hundred thirteen trillion, one hundred twenty-one billion, three hundred thirty-three million, one thousand, three hundred one".