314201102413 has 16 divisors (see below), whose sum is σ = 382028927040. Its totient is φ = 254685945600.

The previous prime is 314201102393. The next prime is 314201102429.

314201102413 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 314201102413 - 2¹⁷ = 314200971341 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 (314201102513) 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, 44212758 + ... + 44219863.

It is an arithmetic number, because the mean of its divisors is an integer number (23876807940).

Almost surely, 2^314201102413 is an apocalyptic number.

It is an amenable number.

314201102413 is a deficient number, since it is larger than the sum of its proper divisors (67827824627).

314201102413 is a wasteful number, since it uses less digits than its factorization.

314201102413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88432668.

The product of its (nonzero) digits is 576, while the sum is 22.

It can be divided in two parts, 314201 and 102413, that added together give a palindrome (416614).

The spelling of 314201102413 in words is "three hundred fourteen billion, two hundred one million, one hundred two thousand, four hundred thirteen".