313311123135 has 96 divisors (see below), whose sum is σ = 570900096000. Its totient is φ = 158648979456.

The previous prime is 313311123119. The next prime is 313311123137. The reversal of 313311123135 is 531321113313.

It is a happy number.

313311123135 is a `hidden beast` number, since 3 + 1 + 331 + 1 + 12 + 313 + 5 = 666.

It is not a de Polignac number, because 313311123135 - 2⁴ = 313311123119 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 313311123099 and 313311123108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313311123137) 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, 104470366 + ... + 104473364.

It is an arithmetic number, because the mean of its divisors is an integer number (5946876000).

Almost surely, 2^313311123135 is an apocalyptic number.

313311123135 is a deficient number, since it is larger than the sum of its proper divisors (257588972865).

313311123135 is a wasteful number, since it uses less digits than its factorization.

313311123135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3749 (or 3746 counting only the distinct ones).

The product of its digits is 2430, while the sum is 27.

Adding to 313311123135 its reverse (531321113313), we get a palindrome (844632236448).

The spelling of 313311123135 in words is "three hundred thirteen billion, three hundred eleven million, one hundred twenty-three thousand, one hundred thirty-five".