3122430342213 has 128 divisors (see below), whose sum is σ = 5305195929600. Its totient is φ = 1589505223680.

The previous prime is 3122430342211. The next prime is 3122430342221.

It is a happy number.

3122430342213 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 3122430342213 - 2¹ = 3122430342211 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3122430342211) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1943017456 + ... + 1943019062.

It is an arithmetic number, because the mean of its divisors is an integer number (41446843200).

Almost surely, 2^{3122430342213} is an apocalyptic number.

It is an amenable number.

3122430342213 is a deficient number, since it is larger than the sum of its proper divisors (2182765587387).

3122430342213 is a wasteful number, since it uses less digits than its factorization.

3122430342213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3107.

The product of its (nonzero) digits is 20736, while the sum is 30.

It can be divided in two parts, 3122430 and 342213, that added together give a palindrome (3464643).

The spelling of 3122430342213 in words is "three trillion, one hundred twenty-two billion, four hundred thirty million, three hundred forty-two thousand, two hundred thirteen".