313133131 has 4 divisors (see below), whose sum is σ = 313313512. Its totient is φ = 312952752.

The previous prime is 313133123. The next prime is 313133159. The reversal of 313133131 is 131331313.

It is a happy number.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 131331313 = 6673 ⋅19681.

It is a cyclic number.

It is not a de Polignac number, because 313133131 - 2³ = 313133123 is a prime.

It is a super-3 number, since 3×313133131³ (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 313133099 and 313133108.

It is not an unprimeable number, because it can be changed into a prime (313133111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 87561 + ... + 91066.

It is an arithmetic number, because the mean of its divisors is an integer number (78328378).

Almost surely, 2^313133131 is an apocalyptic number.

313133131 is a deficient number, since it is larger than the sum of its proper divisors (180381).

313133131 is a wasteful number, since it uses less digits than its factorization.

313133131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180380.

The product of its digits is 243, while the sum is 19.

The square root of 313133131 is about 17695.5681174694. The cubic root of 313133131 is about 679.0623835135.

Adding to 313133131 its reverse (131331313), we get a palindrome (444464444).

It can be divided in two parts, 3 and 13133131, that multiplied together give a palindrome (39399393).

The spelling of 313133131 in words is "three hundred thirteen million, one hundred thirty-three thousand, one hundred thirty-one".