1312320330000 has 150 divisors (see below), whose sum is σ = 4589374066134. Its totient is φ = 349952064000.

The previous prime is 1312320329989. The next prime is 1312320330011. The reversal of 1312320330000 is 330232131.

1312320330000 is a `hidden beast` number, since 1 + 3 + 12 + 320 + 330 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1312320329989) and next prime (1312320330011).

It can be written as a sum of positive squares in 5 ways, for example, as 458366912784 + 853953417216 = 677028^2 + 924096^2 .

It is a tau number, because it is divible by the number of its divisors (150).

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

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 7200669 + ... + 7380668.

Almost surely, 2^{1312320330000} is an apocalyptic number.

1312320330000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1312320330000 is an abundant number, since it is smaller than the sum of its proper divisors (3277053736134).

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

1312320330000 is a wasteful number, since it uses less digits than its factorization.

1312320330000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14581371 (or 14581347 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 1312320330000 its reverse (330232131), we get a palindrome (1312650562131).

The spelling of 1312320330000 in words is "one trillion, three hundred twelve billion, three hundred twenty million, three hundred thirty thousand".