314221121122413 has 8 divisors (see below), whose sum is σ = 425214651469408. Its totient is φ = 206354169095184.

The previous prime is 314221121122399. The next prime is 314221121122417.

314221121122413 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 314221121122413 - 2¹⁷ = 314221120991341 is a prime.

It is a super-2 number, since 2×314221121122413² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314221121122417) 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 7 ways as a sum of consecutive naturals, for example, 781644579706 + ... + 781644580107.

It is an arithmetic number, because the mean of its divisors is an integer number (53151831433676).

Almost surely, 2^{314221121122413} is an apocalyptic number.

It is an amenable number.

314221121122413 is a deficient number, since it is larger than the sum of its proper divisors (110993530346995).

314221121122413 is a wasteful number, since it uses less digits than its factorization.

314221121122413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1563289159883.

The product of its digits is 4608, while the sum is 30.

The spelling of 314221121122413 in words is "three hundred fourteen trillion, two hundred twenty-one billion, one hundred twenty-one million, one hundred twenty-two thousand, four hundred thirteen".