312132011033 has 2 divisors, whose sum is σ = 312132011034. Its totient is φ = 312132011032.

The previous prime is 312132010991. The next prime is 312132011041. The reversal of 312132011033 is 330110231213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 311456634889 + 675376144 = 558083^2 + 25988^2 .

It is a cyclic number.

It is not a de Polignac number, because 312132011033 - 2¹⁴ = 312131994649 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 312132010996 and 312132011014.

It is not a weakly prime, because it can be changed into another prime (312132011053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156066005516 + 156066005517.

It is an arithmetic number, because the mean of its divisors is an integer number (156066005517).

Almost surely, 2^312132011033 is an apocalyptic number.

It is an amenable number.

312132011033 is a deficient number, since it is larger than the sum of its proper divisors (1).

312132011033 is an equidigital number, since it uses as much as digits as its factorization.

312132011033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 312132011033 its reverse (330110231213), we get a palindrome (642242242246).

The spelling of 312132011033 in words is "three hundred twelve billion, one hundred thirty-two million, eleven thousand, thirty-three".