1330331313312 has 144 divisors (see below), whose sum is σ = 4006535944320. Its totient is φ = 417268279296.

The previous prime is 1330331313271. The next prime is 1330331313359. The reversal of 1330331313312 is 2133131330331.

1330331313312 is a `hidden beast` number, since 1 + 3 + 3 + 0 + 3 + 31 + 313 + 312 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24643983 + ... + 24697905.

It is an arithmetic number, because the mean of its divisors is an integer number (27823166280).

Almost surely, 2^{1330331313312} is an apocalyptic number.

1330331313312 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 1330331313312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2003267972160).

1330331313312 is an abundant number, since it is smaller than the sum of its proper divisors (2676204631008).

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

1330331313312 is a wasteful number, since it uses less digits than its factorization.

1330331313312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58995 (or 58984 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 27.

Adding to 1330331313312 its reverse (2133131330331), we get a palindrome (3463462643643).

The spelling of 1330331313312 in words is "one trillion, three hundred thirty billion, three hundred thirty-one million, three hundred thirteen thousand, three hundred twelve".