314121727121413 has 24 divisors (see below), whose sum is σ = 317720614732128. Its totient is φ = 310562940600000.

The previous prime is 314121727121393. The next prime is 314121727121467.

314121727121413 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2^k-314121727121413 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314121727121473) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31726257763 + ... + 31726267663.

It is an arithmetic number, because the mean of its divisors is an integer number (13238358947172).

Almost surely, 2^{314121727121413} is an apocalyptic number.

It is an amenable number.

314121727121413 is a deficient number, since it is larger than the sum of its proper divisors (3598887610715).

314121727121413 is an equidigital number, since it uses as much as digits as its factorization.

314121727121413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14277 (or 14176 counting only the distinct ones).

The product of its digits is 56448, while the sum is 40.

The spelling of 314121727121413 in words is "three hundred fourteen trillion, one hundred twenty-one billion, seven hundred twenty-seven million, one hundred twenty-one thousand, four hundred thirteen".