314013222310413 has 16 divisors (see below), whose sum is σ = 421057454126400. Its totient is φ = 208155898938240.

The previous prime is 314013222310409. The next prime is 314013222310439.

314013222310413 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 314013222310413 - 2² = 314013222310409 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314013222310453) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37383528 + ... + 45006161.

It is an arithmetic number, because the mean of its divisors is an integer number (26316090882900).

Almost surely, 2^{314013222310413} is an apocalyptic number.

It is an amenable number.

314013222310413 is a deficient number, since it is larger than the sum of its proper divisors (107044231815987).

314013222310413 is a wasteful number, since it uses less digits than its factorization.

314013222310413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82396892.

The product of its (nonzero) digits is 10368, while the sum is 30.

It can be divided in two parts, 3140132 and 22310413, that added together give a triangular number (25450545 = T₇₁₃₄).

The spelling of 314013222310413 in words is "three hundred fourteen trillion, thirteen billion, two hundred twenty-two million, three hundred ten thousand, four hundred thirteen".