101310312020233 has 8 divisors (see below), whose sum is σ = 101676552215240. Its totient is φ = 100944075415680.

The previous prime is 101310312020231. The next prime is 101310312020251. The reversal of 101310312020233 is 332020213013101.

It can be written as a sum of positive squares in 4 ways, for example, as 1287970772544 + 100022341247689 = 1134888^2 + 10001117^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101310312020233 - 2¹ = 101310312020231 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101310312020231) 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 7 ways as a sum of consecutive naturals, for example, 64137703 + ... + 65698291.

It is an arithmetic number, because the mean of its divisors is an integer number (12709569026905).

Almost surely, 2^{101310312020233} is an apocalyptic number.

It is an amenable number.

101310312020233 is a deficient number, since it is larger than the sum of its proper divisors (366240195007).

101310312020233 is a wasteful number, since it uses less digits than its factorization.

101310312020233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1795227.

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 101310312020233 its reverse (332020213013101), we get a palindrome (433330525033334).

The spelling of 101310312020233 in words is "one hundred one trillion, three hundred ten billion, three hundred twelve million, twenty thousand, two hundred thirty-three".