1322313312 has 96 divisors (see below), whose sum is σ = 3713586912. Its totient is φ = 410517504.

The previous prime is 1322313283. The next prime is 1322313331. The reversal of 1322313312 is 2133132231.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 154128 + ... + 162480.

It is an arithmetic number, because the mean of its divisors is an integer number (38683197).

Almost surely, 2^1322313312 is an apocalyptic number.

1322313312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1322313312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1856793456).

1322313312 is an abundant number, since it is smaller than the sum of its proper divisors (2391273600).

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

1322313312 is a wasteful number, since it uses less digits than its factorization.

1322313312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8480 (or 8472 counting only the distinct ones).

The product of its digits is 648, while the sum is 21.

The square root of 1322313312 is about 36363.6262218168. The cubic root of 1322313312 is about 1097.6017480642.

Adding to 1322313312 its reverse (2133132231), we get a palindrome (3455445543).

The spelling of 1322313312 in words is "one billion, three hundred twenty-two million, three hundred thirteen thousand, three hundred twelve".