3121233302213 has 8 divisors (see below), whose sum is σ = 3361443800568. Its totient is φ = 2881039322304.

The previous prime is 3121233302207. The next prime is 3121233302219. The reversal of 3121233302213 is 3122033321213.

It is an interprime number because it is at equal distance from previous prime (3121233302207) and next prime (3121233302219).

It can be written as a sum of positive squares in 4 ways, for example, as 144203986564 + 2977029315649 = 379742^2 + 1725407^2 .

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

It is not a de Polignac number, because 3121233302213 - 2⁶ = 3121233302149 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3121233302219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3735770 + ... + 4494267.

It is an arithmetic number, because the mean of its divisors is an integer number (420180475071).

Almost surely, 2^{3121233302213} is an apocalyptic number.

It is an amenable number.

3121233302213 is a deficient number, since it is larger than the sum of its proper divisors (240210498355).

3121233302213 is a wasteful number, since it uses less digits than its factorization.

3121233302213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8259223.

The product of its (nonzero) digits is 3888, while the sum is 26.

Adding to 3121233302213 its reverse (3122033321213), we get a palindrome (6243266623426).

The spelling of 3121233302213 in words is "three trillion, one hundred twenty-one billion, two hundred thirty-three million, three hundred two thousand, two hundred thirteen".