312322122033 has 16 divisors (see below), whose sum is σ = 418462390080. Its totient is φ = 207199172096.

The previous prime is 312322122023. The next prime is 312322122043. The reversal of 312322122033 is 330221223213.

It is an interprime number because it is at equal distance from previous prime (312322122023) and next prime (312322122043).

It is a cyclic number.

It is not a de Polignac number, because 312322122033 - 2⁵ = 312322122001 is a prime.

It is a super-2 number, since 2×312322122033² (a number of 24 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 312322121994 and 312322122012.

It is not an unprimeable number, because it can be changed into a prime (312322122023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1342141 + ... + 1557557.

It is an arithmetic number, because the mean of its divisors is an integer number (26153899380).

Almost surely, 2^312322122033 is an apocalyptic number.

It is an amenable number.

312322122033 is a deficient number, since it is larger than the sum of its proper divisors (106140268047).

312322122033 is a wasteful number, since it uses less digits than its factorization.

312322122033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217776.

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 312322122033 its reverse (330221223213), we get a palindrome (642543345246).

The spelling of 312322122033 in words is "three hundred twelve billion, three hundred twenty-two million, one hundred twenty-two thousand, thirty-three".