101222233313 has 2 divisors, whose sum is σ = 101222233314. Its totient is φ = 101222233312.

The previous prime is 101222233291. The next prime is 101222233337. The reversal of 101222233313 is 313332222101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99239490529 + 1982742784 = 315023^2 + 44528^2 .

It is an emirp because it is prime and its reverse (313332222101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101222233313 - 2³⁶ = 32502756577 is a prime.

It is not a weakly prime, because it can be changed into another prime (101222233513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50611116656 + 50611116657.

It is an arithmetic number, because the mean of its divisors is an integer number (50611116657).

Almost surely, 2^101222233313 is an apocalyptic number.

It is an amenable number.

101222233313 is a deficient number, since it is larger than the sum of its proper divisors (1).

101222233313 is an equidigital number, since it uses as much as digits as its factorization.

101222233313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 101222233313 its reverse (313332222101), we get a palindrome (414554455414).

The spelling of 101222233313 in words is "one hundred one billion, two hundred twenty-two million, two hundred thirty-three thousand, three hundred thirteen".