314221141122413 has 12 divisors (see below), whose sum is σ = 365646921786720. Its totient is φ = 269240765720472.

The previous prime is 314221141122397. The next prime is 314221141122431.

314221141122413 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 314221141122413 - 2⁴ = 314221141122397 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 314221141122413.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314221141122313) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1090818281 + ... + 1091106302.

It is an arithmetic number, because the mean of its divisors is an integer number (30470576815560).

Almost surely, 2^{314221141122413} is an apocalyptic number.

It is an amenable number.

314221141122413 is a deficient number, since it is larger than the sum of its proper divisors (51425780664307).

314221141122413 is a wasteful number, since it uses less digits than its factorization.

314221141122413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2181927536 (or 2181927529 counting only the distinct ones).

The product of its digits is 9216, while the sum is 32.

The spelling of 314221141122413 in words is "three hundred fourteen trillion, two hundred twenty-one billion, one hundred forty-one million, one hundred twenty-two thousand, four hundred thirteen".