3121221410993 has 16 divisors (see below), whose sum is σ = 3690202560000. Its totient is φ = 2583017785152.

The previous prime is 3121221410921. The next prime is 3121221410999. The reversal of 3121221410993 is 3990141221213.

3121221410993 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3121221410993 - 2¹⁴ = 3121221394609 is a prime.

It is a super-2 number, since 2×3121221410993² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (3121221410999) 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, 9556808 + ... + 9878006.

It is an arithmetic number, because the mean of its divisors is an integer number (230637660000).

Almost surely, 2^{3121221410993} is an apocalyptic number.

It is an amenable number.

3121221410993 is a deficient number, since it is larger than the sum of its proper divisors (568981149007).

3121221410993 is a wasteful number, since it uses less digits than its factorization.

3121221410993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369104.

The product of its (nonzero) digits is 23328, while the sum is 38.

The spelling of 3121221410993 in words is "three trillion, one hundred twenty-one billion, two hundred twenty-one million, four hundred ten thousand, nine hundred ninety-three".