313321122 has 40 divisors (see below), whose sum is σ = 705672000. Its totient is φ = 103904856.

The previous prime is 313321121. The next prime is 313321147. The reversal of 313321122 is 221123313.

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 = 313321095 and 313321104.

It is not an unprimeable number, because it can be changed into a prime (313321121) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 27379 + ... + 37097.

It is an arithmetic number, because the mean of its divisors is an integer number (17641800).

Almost surely, 2^313321122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313321122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352836000).

313321122 is an abundant number, since it is smaller than the sum of its proper divisors (392350878).

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

313321122 is a wasteful number, since it uses less digits than its factorization.

313321122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9932 (or 9923 counting only the distinct ones).

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

The square root of 313321122 is about 17700.8791307099. The cubic root of 313321122 is about 679.1982491308.

Adding to 313321122 its reverse (221123313), we get a palindrome (534444435).

The spelling of 313321122 in words is "three hundred thirteen million, three hundred twenty-one thousand, one hundred twenty-two".