314121121121413 has 16 divisors (see below), whose sum is σ = 320821861132080. Its totient is φ = 307491357184000.

The previous prime is 314121121121387. The next prime is 314121121121443.

It is a happy number.

314121121121413 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 105332001607044 + 208789119514369 = 10263138^2 + 14449537^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-314121121121413 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314121121121443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 108971181 + ... + 111816637.

It is an arithmetic number, because the mean of its divisors is an integer number (20051366320755).

Almost surely, 2^{314121121121413} is an apocalyptic number.

It is an amenable number.

314121121121413 is a deficient number, since it is larger than the sum of its proper divisors (6700740010667).

314121121121413 is a wasteful number, since it uses less digits than its factorization.

314121121121413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2857928.

The product of its digits is 1152, while the sum is 28.

The spelling of 314121121121413 in words is "three hundred fourteen trillion, one hundred twenty-one billion, one hundred twenty-one million, one hundred twenty-one thousand, four hundred thirteen".