330311414122413 has 16 divisors (see below), whose sum is σ = 442195913287296. Its totient is φ = 219318959705600.

The previous prime is 330311414122399. The next prime is 330311414122427. The reversal of 330311414122413 is 314221414113033.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (330311414122399) and next prime (330311414122427).

It is a cyclic number.

It is not a de Polignac number, because 330311414122413 - 2¹³ = 330311414114221 is a prime.

It is a super-4 number, since 4×330311414122413⁴ (a number of 59 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330311414122433) 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, 211411056 + ... + 212967737.

It is an arithmetic number, because the mean of its divisors is an integer number (27637244580456).

Almost surely, 2^{330311414122413} is an apocalyptic number.

It is an amenable number.

330311414122413 is a deficient number, since it is larger than the sum of its proper divisors (111884499164883).

330311414122413 is a wasteful number, since it uses less digits than its factorization.

330311414122413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424379844.

The product of its (nonzero) digits is 20736, while the sum is 33.

Adding to 330311414122413 its reverse (314221414113033), we get a palindrome (644532828235446).

The spelling of 330311414122413 in words is "three hundred thirty trillion, three hundred eleven billion, four hundred fourteen million, one hundred twenty-two thousand, four hundred thirteen".