3123144413213 has 96 divisors (see below), whose sum is σ = 3696807396096. Its totient is φ = 2632696704000.

The previous prime is 3123144413203. The next prime is 3123144413243.

3123144413213 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 3123144413213 - 2¹⁰ = 3123144412189 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 3123144413213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3123144413203) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22796674481 + ... + 22796674617.

It is an arithmetic number, because the mean of its divisors is an integer number (38508410376).

Almost surely, 2^{3123144413213} is an apocalyptic number.

It is an amenable number.

3123144413213 is a deficient number, since it is larger than the sum of its proper divisors (573662982883).

3123144413213 is a wasteful number, since it uses less digits than its factorization.

3123144413213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 345 counting only the distinct ones).

The product of its digits is 20736, while the sum is 32.

It can be divided in two parts, 31231 and 44413213, that added together give a palindrome (44444444).

The spelling of 3123144413213 in words is "three trillion, one hundred twenty-three billion, one hundred forty-four million, four hundred thirteen thousand, two hundred thirteen".