101132022322213 has 2 divisors, whose sum is σ = 101132022322214. Its totient is φ = 101132022322212.

The previous prime is 101132022322159. The next prime is 101132022322241. The reversal of 101132022322213 is 312223220231101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 86879419153569 + 14252603168644 = 9320913^2 + 3775262^2 .

It is a cyclic number.

It is not a de Polignac number, because 101132022322213 - 2²⁵ = 101131988767781 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101132022122213) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50566011161106 + 50566011161107.

It is an arithmetic number, because the mean of its divisors is an integer number (50566011161107).

Almost surely, 2^{101132022322213} is an apocalyptic number.

It is an amenable number.

101132022322213 is a deficient number, since it is larger than the sum of its proper divisors (1).

101132022322213 is an equidigital number, since it uses as much as digits as its factorization.

101132022322213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 101132022322213 its reverse (312223220231101), we get a palindrome (413355242553314).

The spelling of 101132022322213 in words is "one hundred one trillion, one hundred thirty-two billion, twenty-two million, three hundred twenty-two thousand, two hundred thirteen".