312011133231221 has 16 divisors (see below), whose sum is σ = 317328894835200. Its totient is φ = 306752566806000.

The previous prime is 312011133231197. The next prime is 312011133231229. The reversal of 312011133231221 is 122132331110213.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-312011133231221 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 (312011133231229) 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, 21651311 + ... + 33057548.

It is an arithmetic number, because the mean of its divisors is an integer number (19833055927200).

Almost surely, 2^{312011133231221} is an apocalyptic number.

It is an amenable number.

312011133231221 is a deficient number, since it is larger than the sum of its proper divisors (5317761603979).

312011133231221 is a wasteful number, since it uses less digits than its factorization.

312011133231221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54709400.

The product of its (nonzero) digits is 1296, while the sum is 26.

Adding to 312011133231221 its reverse (122132331110213), we get a palindrome (434143464341434).

The spelling of 312011133231221 in words is "three hundred twelve trillion, eleven billion, one hundred thirty-three million, two hundred thirty-one thousand, two hundred twenty-one".