1312332320 has 72 divisors (see below), whose sum is σ = 3357290916. Its totient is φ = 484543488.

The previous prime is 1312332319. The next prime is 1312332377. The reversal of 1312332320 is 232332131.

It can be written as a sum of positive squares in 6 ways, for example, as 350588176 + 961744144 = 18724^2 + 31012^2 .

It is a super-2 number, since 2×1312332320² = 3444432236233164800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1312332292 and 1312332301.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2774 + ... + 51306.

Almost surely, 2^1312332320 is an apocalyptic number.

1312332320 is a gapful number since it is divisible by the number (10) 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 1312332320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1678645458).

1312332320 is an abundant number, since it is smaller than the sum of its proper divisors (2044958596).

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

1312332320 is a wasteful number, since it uses less digits than its factorization.

1312332320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48574 (or 48553 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

The square root of 1312332320 is about 36226.1275876956. The cubic root of 1312332320 is about 1094.8331570961.

Adding to 1312332320 its reverse (232332131), we get a palindrome (1544664451).

The spelling of 1312332320 in words is "one billion, three hundred twelve million, three hundred thirty-two thousand, three hundred twenty".