1321314312 has 32 divisors (see below), whose sum is σ = 3317006880. Its totient is φ = 438608640.

The previous prime is 1321314301. The next prime is 1321314317. The reversal of 1321314312 is 2134131231.

It is a super-2 number, since 2×1321314312² = 3491743022192066688, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1321314317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 108438 + ... + 120005.

It is an arithmetic number, because the mean of its divisors is an integer number (103656465).

Almost surely, 2^1321314312 is an apocalyptic number.

1321314312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1321314312 is an abundant number, since it is smaller than the sum of its proper divisors (1995692568).

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

1321314312 is a wasteful number, since it uses less digits than its factorization.

1321314312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228693 (or 228689 counting only the distinct ones).

The product of its digits is 432, while the sum is 21.

The square root of 1321314312 is about 36349.8873725903. The cubic root of 1321314312 is about 1097.3252678517.

Adding to 1321314312 its reverse (2134131231), we get a palindrome (3455445543).

The spelling of 1321314312 in words is "one billion, three hundred twenty-one million, three hundred fourteen thousand, three hundred twelve".