312013333200089 has 2 divisors, whose sum is σ = 312013333200090. Its totient is φ = 312013333200088.

The previous prime is 312013333200061. The next prime is 312013333200119. The reversal of 312013333200089 is 980002333310213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 260854962510025 + 51158370690064 = 16151005^2 + 7152508^2 .

It is a cyclic number.

It is not a de Polignac number, because 312013333200089 - 2¹⁶ = 312013333134553 is a prime.

It is a super-2 number, since 2×312013333200089² (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (312013353200089) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156006666600044 + 156006666600045.

It is an arithmetic number, because the mean of its divisors is an integer number (156006666600045).

Almost surely, 2^{312013333200089} is an apocalyptic number.

It is an amenable number.

312013333200089 is a deficient number, since it is larger than the sum of its proper divisors (1).

312013333200089 is an equidigital number, since it uses as much as digits as its factorization.

312013333200089 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 69984, while the sum is 38.

The spelling of 312013333200089 in words is "three hundred twelve trillion, thirteen billion, three hundred thirty-three million, two hundred thousand, eighty-nine".