1330306185321 has 27 divisors (see below), whose sum is σ = 1967499959607. Its totient is φ = 866149003440.

The previous prime is 1330306185283. The next prime is 1330306185337. The reversal of 1330306185321 is 1235816030331.

The square root of 1330306185321 is 1153389.

It is a perfect power (a square), and thus also a powerful number.

1330306185321 is a `hidden beast` number, since 1 + 3 + 3 + 0 + 3 + 0 + 618 + 5 + 32 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 876865560921 + 453440624400 = 936411^2 + 673380^2 .

It is not a de Polignac number, because 1330306185321 - 2¹¹ = 1330306183273 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1330306185371) 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 26 ways as a sum of consecutive naturals, for example, 148782711 + ... + 148791651.

Almost surely, 2^{1330306185321} is an apocalyptic number.

1330306185321 is the 1153389-th square number.

1330306185321 is the 576695-th centered octagonal number.

It is an amenable number.

1330306185321 is a deficient number, since it is larger than the sum of its proper divisors (637193774286).

1330306185321 is an frugal number, since it uses more digits than its factorization.

1330306185321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17974 (or 8987 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

Multiplying 1330306185321 by its sum of digits (36), we get a square (47891022671556 = 6920334²).

The spelling of 1330306185321 in words is "one trillion, three hundred thirty billion, three hundred six million, one hundred eighty-five thousand, three hundred twenty-one".