1332613963321 has 15 divisors (see below), whose sum is σ = 1357579487055. Its totient is φ = 1308107439240.

The previous prime is 1332613963309. The next prime is 1332613963363. The reversal of 1332613963321 is 1233693162331.

The square root of 1332613963321 is 1154389.

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

It can be written as a sum of positive squares in only one way, i.e., 1241131911721 + 91482051600 = 1114061^2 + 302460^2 .

It is not a de Polignac number, because 1332613963321 - 2⁹ = 1332613962809 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1332613963381) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 5819274835 + ... + 5819275063.

It is an arithmetic number, because the mean of its divisors is an integer number (90505299137).

Almost surely, 2^{1332613963321} is an apocalyptic number.

1332613963321 is the 1154389-th square number.

1332613963321 is the 577195-th centered octagonal number.

It is an amenable number.

1332613963321 is a deficient number, since it is larger than the sum of its proper divisors (24965523734).

1332613963321 is an frugal number, since it uses more digits than its factorization.

1332613963321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 742 (or 300 counting only the distinct ones).

The product of its digits is 314928, while the sum is 43.

The spelling of 1332613963321 in words is "one trillion, three hundred thirty-two billion, six hundred thirteen million, nine hundred sixty-three thousand, three hundred twenty-one".