313132101231313 has 96 divisors (see below), whose sum is σ = 402335497509120. Its totient is φ = 241466638533120.

The previous prime is 313132101231293. The next prime is 313132101231317.

It is a happy number.

313132101231313 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 313132101231313 - 2¹³ = 313132101223121 is a prime.

It is not an unprimeable number, because it can be changed into a prime (313132101231317) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3095394228 + ... + 3095495386.

It is an arithmetic number, because the mean of its divisors is an integer number (4190994765720).

Almost surely, 2^{313132101231313} is an apocalyptic number.

It is an amenable number.

313132101231313 is a deficient number, since it is larger than the sum of its proper divisors (89203396277807).

313132101231313 is a wasteful number, since it uses less digits than its factorization.

313132101231313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101847 (or 101840 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 28.

It can be divided in two parts, 31313210 and 1231313, that added together give a palindrome (32544523).

The spelling of 313132101231313 in words is "three hundred thirteen trillion, one hundred thirty-two billion, one hundred one million, two hundred thirty-one thousand, three hundred thirteen".