314200202002413 has 16 divisors (see below), whose sum is σ = 437155942619520. Its totient is φ = 200355957838784.

The previous prime is 314200202002249. The next prime is 314200202002439.

It is a happy number.

314200202002413 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 314200202002413 - 2⁹ = 314200202001901 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314200202002483) 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, 36929706 + ... + 44634107.

It is an arithmetic number, because the mean of its divisors is an integer number (27322246413720).

Almost surely, 2^{314200202002413} is an apocalyptic number.

It is an amenable number.

314200202002413 is a deficient number, since it is larger than the sum of its proper divisors (122955740617107).

314200202002413 is a wasteful number, since it uses less digits than its factorization.

314200202002413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81619668.

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

It can be divided in two parts, 31420020 and 2002413, that added together give a palindrome (33422433).

The spelling of 314200202002413 in words is "three hundred fourteen trillion, two hundred billion, two hundred two million, two thousand, four hundred thirteen".