312121020121213 has 16 divisors (see below), whose sum is σ = 317506026931200. Its totient is φ = 306787693132800.

The previous prime is 312121020121201. The next prime is 312121020121223.

It is a happy number.

312121020121213 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 312121020121213 - 2⁴⁵ = 276936648032381 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 (312121020121223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7376793 + ... + 26051086.

It is an arithmetic number, because the mean of its divisors is an integer number (19844126683200).

Almost surely, 2^{312121020121213} is an apocalyptic number.

It is an amenable number.

312121020121213 is a deficient number, since it is larger than the sum of its proper divisors (5385006809987).

312121020121213 is a wasteful number, since it uses less digits than its factorization.

312121020121213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33428652.

The product of its (nonzero) digits is 288, while the sum is 22.

The spelling of 312121020121213 in words is "three hundred twelve trillion, one hundred twenty-one billion, twenty million, one hundred twenty-one thousand, two hundred thirteen".