312121103301 has 64 divisors (see below), whose sum is σ = 535036723200. Its totient is φ = 176142739968.

The previous prime is 312121103293. The next prime is 312121103303. The reversal of 312121103301 is 103301121213.

312121103301 is a `hidden beast` number, since 3 + 121 + 211 + 0 + 330 + 1 = 666.

312121103301 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 312121103301 - 2³ = 312121103293 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312121103303) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8763736 + ... + 8799278.

It is an arithmetic number, because the mean of its divisors is an integer number (8359948800).

Almost surely, 2^312121103301 is an apocalyptic number.

It is an amenable number.

312121103301 is a deficient number, since it is larger than the sum of its proper divisors (222915619899).

312121103301 is a wasteful number, since it uses less digits than its factorization.

312121103301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36135 (or 36129 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 312121103301 its reverse (103301121213), we get a palindrome (415422224514).

The spelling of 312121103301 in words is "three hundred twelve billion, one hundred twenty-one million, one hundred three thousand, three hundred one".