314314101413413 has 8 divisors (see below), whose sum is σ = 324453748361216. Its totient is φ = 304174484614800.

The previous prime is 314314101413381. The next prime is 314314101413461.

314314101413413 is nontrivially palindromic in base 10.

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 314314101413413 - 2⁵ = 314314101413381 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314314101413113) 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, 14690095 + ... + 29059027.

It is an arithmetic number, because the mean of its divisors is an integer number (40556718545152).

Almost surely, 2^{314314101413413} is an apocalyptic number.

It is an amenable number.

314314101413413 is a deficient number, since it is larger than the sum of its proper divisors (10139646947803).

314314101413413 is a wasteful number, since it uses less digits than its factorization.

314314101413413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15074595.

The product of its (nonzero) digits is 20736, while the sum is 34.

It can be divided in two parts, 31431410 and 1413413, that added together give a palindrome (32844823).

The spelling of 314314101413413 in words is "three hundred fourteen trillion, three hundred fourteen billion, one hundred one million, four hundred thirteen thousand, four hundred thirteen".