312033121 has 2 divisors, whose sum is σ = 312033122. Its totient is φ = 312033120.

The previous prime is 312033109. The next prime is 312033149. The reversal of 312033121 is 121330213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 266995600 + 45037521 = 16340^2 + 6711^2 .

It is an emirp because it is prime and its reverse (121330213) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 312033121 - 2⁵ = 312033089 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 312033095 and 312033104.

It is not a weakly prime, because it can be changed into another prime (312033221) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156016560 + 156016561.

It is an arithmetic number, because the mean of its divisors is an integer number (156016561).

Almost surely, 2^312033121 is an apocalyptic number.

It is an amenable number.

312033121 is a deficient number, since it is larger than the sum of its proper divisors (1).

312033121 is an equidigital number, since it uses as much as digits as its factorization.

312033121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 312033121 is about 17664.4592614662. The cubic root of 312033121 is about 678.2662878208.

Adding to 312033121 its reverse (121330213), we get a palindrome (433363334).

The spelling of 312033121 in words is "three hundred twelve million, thirty-three thousand, one hundred twenty-one".