13742711724731 has 16 divisors (see below), whose sum is σ = 15319983893760. Its totient is φ = 12223018117920.

The previous prime is 13742711724697. The next prime is 13742711724773.

13742711724731 is nontrivially palindromic in base 10.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13742711724731 is a prime.

It is a super-2 number, since 2×13742711724731² (a number of 27 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 13742711724731.

It is not an unprimeable number, because it can be changed into a prime (13742714724731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72975176 + ... + 73163253.

It is an arithmetic number, because the mean of its divisors is an integer number (957498993360).

Almost surely, 2^{13742711724731} is an apocalyptic number.

13742711724731 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13742711724731 is a deficient number, since it is larger than the sum of its proper divisors (1577272169029).

13742711724731 is a wasteful number, since it uses less digits than its factorization.

13742711724731 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146138626.

The product of its digits is 1382976, while the sum is 50.

The spelling of 13742711724731 in words is "thirteen trillion, seven hundred forty-two billion, seven hundred eleven million, seven hundred twenty-four thousand, seven hundred thirty-one".