313123330113 has 128 divisors (see below), whose sum is σ = 497464934400. Its totient is φ = 173268902400.

The previous prime is 313123330099. The next prime is 313123330127. The reversal of 313123330113 is 311033321313.

It is an interprime number because it is at equal distance from previous prime (313123330099) and next prime (313123330127).

It is not a de Polignac number, because 313123330113 - 2⁴ = 313123330097 is a prime.

It is a super-2 number, since 2×313123330113² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (313123330153) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 373209748 + ... + 373210586.

It is an arithmetic number, because the mean of its divisors is an integer number (3886444800).

Almost surely, 2^313123330113 is an apocalyptic number.

313123330113 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

313123330113 is a deficient number, since it is larger than the sum of its proper divisors (184341604287).

313123330113 is a wasteful number, since it uses less digits than its factorization.

313123330113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1163.

The product of its (nonzero) digits is 1458, while the sum is 24.

Adding to 313123330113 its reverse (311033321313), we get a palindrome (624156651426).

The spelling of 313123330113 in words is "three hundred thirteen billion, one hundred twenty-three million, three hundred thirty thousand, one hundred thirteen".