101101331321 has 2 divisors, whose sum is σ = 101101331322. Its totient is φ = 101101331320.

The previous prime is 101101331297. The next prime is 101101331341. The reversal of 101101331321 is 123133101101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 53397966400 + 47703364921 = 231080^2 + 218411^2 .

It is an emirp because it is prime and its reverse (123133101101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101101331321 - 2⁶ = 101101331257 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101101331321.

It is not a weakly prime, because it can be changed into another prime (101101331341) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50550665660 + 50550665661.

It is an arithmetic number, because the mean of its divisors is an integer number (50550665661).

Almost surely, 2^101101331321 is an apocalyptic number.

It is an amenable number.

101101331321 is a deficient number, since it is larger than the sum of its proper divisors (1).

101101331321 is an equidigital number, since it uses as much as digits as its factorization.

101101331321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 101101331321 its reverse (123133101101), we get a palindrome (224234432422).

It can be divided in two parts, 10110 and 1331321, that added together give a palindrome (1341431).

The spelling of 101101331321 in words is "one hundred one billion, one hundred one million, three hundred thirty-one thousand, three hundred twenty-one".