13271441714001 has 9 divisors (see below), whose sum is σ = 19169876039899. Its totient is φ = 8847620523336.

The previous prime is 13271441713991. The next prime is 13271441714033. The reversal of 13271441714001 is 10041714417231.

The square root of 13271441714001 is 3642999.

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

13271441714001 is a `hidden beast` number, since 1 + 3 + 2 + 71 + 441 + 7 + 140 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2156712530625 + 11114729183376 = 1468575^2 + 3333876^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 13271441714001 - 2²¹ = 13271439616849 is a prime.

It is a super-2 number, since 2×13271441714001² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13271441784001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 10321831 + ... + 11536163.

Almost surely, 2^{13271441714001} is an apocalyptic number.

13271441714001 is the 3642999-th square number.

13271441714001 is the 1821500-th centered octagonal number.

It is an amenable number.

13271441714001 is a deficient number, since it is larger than the sum of its proper divisors (5898434325898).

13271441714001 is an frugal number, since it uses more digits than its factorization.

13271441714001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2428672 (or 1214336 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

Multiplying 13271441714001 by its sum of digits (36), we get a square (477771901704036 = 21857994²).

The spelling of 13271441714001 in words is "thirteen trillion, two hundred seventy-one billion, four hundred forty-one million, seven hundred fourteen thousand, one".