314202202413 has 16 divisors (see below), whose sum is σ = 458377548096. Its totient is φ = 189860509440.

The previous prime is 314202202393. The next prime is 314202202423.

It is a happy number.

314202202413 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 314202202413 - 2²⁶ = 314135093549 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314202202423) 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, 14115406 + ... + 14137647.

It is an arithmetic number, because the mean of its divisors is an integer number (28648596756).

Almost surely, 2^314202202413 is an apocalyptic number.

314202202413 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

314202202413 is a deficient number, since it is larger than the sum of its proper divisors (144175345683).

314202202413 is a wasteful number, since it uses less digits than its factorization.

314202202413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28253404.

The product of its (nonzero) digits is 2304, while the sum is 24.

It can be divided in two parts, 314202 and 202413, that added together give a palindrome (516615).

The spelling of 314202202413 in words is "three hundred fourteen billion, two hundred two million, two hundred two thousand, four hundred thirteen".