1305313015321 has 24 divisors (see below), whose sum is σ = 1530272532096. Its totient is φ = 1110113091360.

The previous prime is 1305313015289. The next prime is 1305313015351. The reversal of 1305313015321 is 1235103135031.

It is a happy number.

It is not a de Polignac number, because 1305313015321 - 2⁵ = 1305313015289 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1305313015321.

It is not an unprimeable number, because it can be changed into a prime (1305313015351) 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, 49586455 + ... + 49612771.

It is an arithmetic number, because the mean of its divisors is an integer number (63761355504).

Almost surely, 2^{1305313015321} is an apocalyptic number.

It is an amenable number.

1305313015321 is a deficient number, since it is larger than the sum of its proper divisors (224959516775).

1305313015321 is a wasteful number, since it uses less digits than its factorization.

1305313015321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34189 (or 34182 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 28.

The spelling of 1305313015321 in words is "one trillion, three hundred five billion, three hundred thirteen million, fifteen thousand, three hundred twenty-one".