100332322231331 has 2 divisors, whose sum is σ = 100332322231332. Its totient is φ = 100332322231330.

The previous prime is 100332322231313. The next prime is 100332322231333. The reversal of 100332322231331 is 133132223233001.

Together with previous prime (100332322231313) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It is an emirp because it is prime and its reverse (133132223233001) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100332322231331 is a prime.

It is a super-2 number, since 2×100332322231331² (a number of 29 digits) contains 22 as substring.

Together with 100332322231333, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 100332322231294 and 100332322231303.

It is not a weakly prime, because it can be changed into another prime (100332322231333) 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 as a sum of consecutive naturals, namely, 50166161115665 + 50166161115666.

It is an arithmetic number, because the mean of its divisors is an integer number (50166161115666).

Almost surely, 2^{100332322231331} is an apocalyptic number.

100332322231331 is a deficient number, since it is larger than the sum of its proper divisors (1).

100332322231331 is an equidigital number, since it uses as much as digits as its factorization.

100332322231331 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11664, while the sum is 29.

Adding to 100332322231331 its reverse (133132223233001), we get a palindrome (233464545464332).

The spelling of 100332322231331 in words is "one hundred trillion, three hundred thirty-two billion, three hundred twenty-two million, two hundred thirty-one thousand, three hundred thirty-one".