13305391801 has 27 divisors (see below), whose sum is σ = 15238449711. Its totient is φ = 11610568944.

The previous prime is 13305391769. The next prime is 13305391817. The reversal of 13305391801 is 10819350331.

The square root of 13305391801 is 115349.

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., 1968253225 + 11337138576 = 44365^2 + 106476^2 .

It is not a de Polignac number, because 13305391801 - 2⁵ = 13305391769 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13305391861) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 28490970 + ... + 28491436.

Almost surely, 2^13305391801 is an apocalyptic number.

13305391801 is the 115349-th square number.

13305391801 is the 57675-th centered octagonal number.

It is an amenable number.

13305391801 is a deficient number, since it is larger than the sum of its proper divisors (1933057910).

13305391801 is an frugal number, since it uses more digits than its factorization.

13305391801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 998 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 34.

The spelling of 13305391801 in words is "thirteen billion, three hundred five million, three hundred ninety-one thousand, eight hundred one".