101320331122233 has 16 divisors (see below), whose sum is σ = 150170407047360. Its totient is φ = 67517091658368.

The previous prime is 101320331122211. The next prime is 101320331122249. The reversal of 101320331122233 is 332221133023101.

101320331122233 is a `hidden beast` number, since 1 + 0 + 1 + 320 + 3 + 3 + 112 + 223 + 3 = 666.

It is not a de Polignac number, because 101320331122233 - 2³⁰ = 101319257380409 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 101320331122197 and 101320331122206.

It is not an unprimeable number, because it can be changed into a prime (101320331122033) 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 in 15 ways as a sum of consecutive naturals, for example, 827597560 + ... + 827719977.

It is an arithmetic number, because the mean of its divisors is an integer number (9385650440460).

Almost surely, 2^{101320331122233} is an apocalyptic number.

It is an amenable number.

101320331122233 is a deficient number, since it is larger than the sum of its proper divisors (48850075925127).

101320331122233 is a wasteful number, since it uses less digits than its factorization.

101320331122233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1655319813 (or 1655319807 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 101320331122233 its reverse (332221133023101), we get a palindrome (433541464145334).

The spelling of 101320331122233 in words is "one hundred one trillion, three hundred twenty billion, three hundred thirty-one million, one hundred twenty-two thousand, two hundred thirty-three".