3124214124213 has 256 divisors, whose sum is σ = 5601086668800. Its totient is φ = 1503256320000.

The previous prime is 3124214124203. The next prime is 3124214124221.

It is a happy number.

3124214124213 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 3124214124213 - 2⁵ = 3124214124181 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3124214124203) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 8702546128 + ... + 8702546486.

It is an arithmetic number, because the mean of its divisors is an integer number (21879244800).

Almost surely, 2^{3124214124213} is an apocalyptic number.

It is an amenable number.

3124214124213 is a deficient number, since it is larger than the sum of its proper divisors (2476872544587).

3124214124213 is a wasteful number, since it uses less digits than its factorization.

3124214124213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 864.

The product of its digits is 9216, while the sum is 30.

The spelling of 3124214124213 in words is "three trillion, one hundred twenty-four billion, two hundred fourteen million, one hundred twenty-four thousand, two hundred thirteen".