233012101012993 has 2 divisors, whose sum is σ = 233012101012994. Its totient is φ = 233012101012992.

The previous prime is 233012101012991. The next prime is 233012101013039. The reversal of 233012101012993 is 399210101210332.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 135943753698064 + 97068347314929 = 11659492^2 + 9852327^2 .

It is a cyclic number.

It is not a de Polignac number, because 233012101012993 - 2¹ = 233012101012991 is a prime.

Together with 233012101012991, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (233012101012991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 116506050506496 + 116506050506497.

It is an arithmetic number, because the mean of its divisors is an integer number (116506050506497).

Almost surely, 2^{233012101012993} is an apocalyptic number.

It is an amenable number.

233012101012993 is a deficient number, since it is larger than the sum of its proper divisors (1).

233012101012993 is an equidigital number, since it uses as much as digits as its factorization.

233012101012993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 17496, while the sum is 37.

The spelling of 233012101012993 in words is "two hundred thirty-three trillion, twelve billion, one hundred one million, twelve thousand, nine hundred ninety-three".