13271270401 has 3 divisors (see below), whose sum is σ = 13271385603. Its totient is φ = 13271155200.

The previous prime is 13271270359. The next prime is 13271270477. The reversal of 13271270401 is 10407217231.

The square root of 13271270401 is 115201.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 220492801 + 13050777600 = 14849^2 + 114240^2 .

It is not a de Polignac number, because 13271270401 - 2⁹ = 13271269889 is a prime.

It is a super-2 number, since 2×13271270401² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13271270401.

It is not an unprimeable number, because it can be changed into a prime (13271210401) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 57601 + ... + 172801.

It is an arithmetic number, because the mean of its divisors is an integer number (4423795201).

Almost surely, 2^13271270401 is an apocalyptic number.

13271270401 is the 115201-st square number.

13271270401 is the 57601-st centered octagonal number.

It is an amenable number.

13271270401 is a deficient number, since it is larger than the sum of its proper divisors (115202).

13271270401 is an frugal number, since it uses more digits than its factorization.

13271270401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230402 (or 115201 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 28.

Adding to 13271270401 its reverse (10407217231), we get a palindrome (23678487632).

The spelling of 13271270401 in words is "thirteen billion, two hundred seventy-one million, two hundred seventy thousand, four hundred one".