313123122 has 48 divisors (see below), whose sum is σ = 734756568. Its totient is φ = 95800320.

The previous prime is 313123103. The next prime is 313123123. The reversal of 313123122 is 221321313.

313123122 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 60980481 + 252142641 = 7809^2 + 15879^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 313123095 and 313123104.

It is not an unprimeable number, because it can be changed into a prime (313123123) 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 23 ways as a sum of consecutive naturals, for example, 38658 + ... + 46050.

Almost surely, 2^313123122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313123122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367378284).

313123122 is an abundant number, since it is smaller than the sum of its proper divisors (421633446).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

313123122 is a wasteful number, since it uses less digits than its factorization.

313123122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7595 (or 7592 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 313123122 is about 17695.2853042837. The cubic root of 313123122 is about 679.0551482440.

Adding to 313123122 its reverse (221321313), we get a palindrome (534444435).

It can be divided in two parts, 3131231 and 22, that added together give a triangular number (3131253 = T₂₅₀₂).

The spelling of 313123122 in words is "three hundred thirteen million, one hundred twenty-three thousand, one hundred twenty-two".