101330232313333 has 16 divisors (see below), whose sum is σ = 104357973679344. Its totient is φ = 98329262563840.

The previous prime is 101330232313327. The next prime is 101330232313337. The reversal of 101330232313333 is 333313232033101.

It can be written as a sum of positive squares in 8 ways, for example, as 32086482129 + 101298145831204 = 179127^2 + 10064698^2 .

It is a cyclic number.

It is not a de Polignac number, because 101330232313333 - 2⁹ = 101330232312821 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101330232313295 and 101330232313304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101330232313337) 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, 26966391 + ... + 30493387.

It is an arithmetic number, because the mean of its divisors is an integer number (6522373354959).

Almost surely, 2^{101330232313333} is an apocalyptic number.

It is an amenable number.

101330232313333 is a deficient number, since it is larger than the sum of its proper divisors (3027741366011).

101330232313333 is a wasteful number, since it uses less digits than its factorization.

101330232313333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3530792.

The product of its (nonzero) digits is 26244, while the sum is 31.

Adding to 101330232313333 its reverse (333313232033101), we get a palindrome (434643464346434).

The spelling of 101330232313333 in words is "one hundred one trillion, three hundred thirty billion, two hundred thirty-two million, three hundred thirteen thousand, three hundred thirty-three".