1330334400321 has 24 divisors (see below), whose sum is σ = 1953520073856. Its totient is φ = 872160870240.

The previous prime is 1330334400313. The next prime is 1330334400337. The reversal of 1330334400321 is 1230044330331.

1330334400321 is a `hidden beast` number, since 1 + 3 + 3 + 0 + 334 + 4 + 0 + 0 + 321 = 666.

It is not a de Polignac number, because 1330334400321 - 2³ = 1330334400313 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1330334400301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2288056 + ... + 2809958.

It is an arithmetic number, because the mean of its divisors is an integer number (81396669744).

Almost surely, 2^{1330334400321} is an apocalyptic number.

It is an amenable number.

1330334400321 is a deficient number, since it is larger than the sum of its proper divisors (623185673535).

1330334400321 is a wasteful number, since it uses less digits than its factorization.

1330334400321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526613 (or 526610 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 1330334400321 its reverse (1230044330331), we get a palindrome (2560378730652).

It can be divided in two parts, 133033 and 4400321, that added together give a palindrome (4533354).

The spelling of 1330334400321 in words is "one trillion, three hundred thirty billion, three hundred thirty-four million, four hundred thousand, three hundred twenty-one".