13731366313731 has 8 divisors (see below), whose sum is σ = 19972896456384. Its totient is φ = 8322040190120.

The previous prime is 13731366313661. The next prime is 13731366313793.

13731366313731 is nontrivially palindromic in base 10.

13731366313731 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 13731366313731 - 2¹⁴ = 13731366297347 is a prime.

It is a super-2 number, since 2×13731366313731² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13731366363731) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 208051004721 + ... + 208051004786.

It is an arithmetic number, because the mean of its divisors is an integer number (2496612057048).

Almost surely, 2^{13731366313731} is an apocalyptic number.

13731366313731 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13731366313731 is a deficient number, since it is larger than the sum of its proper divisors (6241530142653).

13731366313731 is a wasteful number, since it uses less digits than its factorization.

13731366313731 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416102009521.

The product of its digits is 1285956, while the sum is 48.

It can be divided in two parts, 1373136 and 6313731, that added together give a palindrome (7686867).

The spelling of 13731366313731 in words is "thirteen trillion, seven hundred thirty-one billion, three hundred sixty-six million, three hundred thirteen thousand, seven hundred thirty-one".