313111201 has 12 divisors (see below), whose sum is σ = 339552108. Its totient is φ = 288597504.

The previous prime is 313111199. The next prime is 313111217. The reversal of 313111201 is 102111313.

It can be written as a sum of positive squares in 6 ways, for example, as 104019601 + 209091600 = 10199^2 + 14460^2 .

It is not a de Polignac number, because 313111201 - 2¹ = 313111199 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (313111291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 200841 + ... + 202393.

It is an arithmetic number, because the mean of its divisors is an integer number (28296009).

Almost surely, 2^313111201 is an apocalyptic number.

It is an amenable number.

313111201 is a deficient number, since it is larger than the sum of its proper divisors (26440907).

313111201 is a wasteful number, since it uses less digits than its factorization.

313111201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2772 (or 2759 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

The square root of 313111201 is about 17694.9484599419. The cubic root of 313111201 is about 679.0465306336.

Adding to 313111201 its reverse (102111313), we get a palindrome (415222514).

The spelling of 313111201 in words is "three hundred thirteen million, one hundred eleven thousand, two hundred one".