1330331013072 has 60 divisors (see below), whose sum is σ = 3723171984480. Its totient is φ = 443432614464.

The previous prime is 1330331013071. The next prime is 1330331013073. The reversal of 1330331013072 is 2703101330331.

1330331013072 is a `hidden beast` number, since 1 + 330 + 3 + 310 + 13 + 0 + 7 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (1330331013071) and next prime (1330331013073).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1330331013071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7358223 + ... + 7536849.

It is an arithmetic number, because the mean of its divisors is an integer number (62052866408).

Almost surely, 2^{1330331013072} is an apocalyptic number.

1330331013072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1330331013072 is an abundant number, since it is smaller than the sum of its proper divisors (2392840971408).

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

1330331013072 is a wasteful number, since it uses less digits than its factorization.

1330331013072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230360 (or 230351 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 27.

The spelling of 1330331013072 in words is "one trillion, three hundred thirty billion, three hundred thirty-one million, thirteen thousand, seventy-two".