101032033223213 has 2 divisors, whose sum is σ = 101032033223214. Its totient is φ = 101032033223212.

The previous prime is 101032033223113. The next prime is 101032033223227. The reversal of 101032033223213 is 312322330230101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 68081195783689 + 32950837439524 = 8251133^2 + 5740282^2 .

It is a cyclic number.

It is not a de Polignac number, because 101032033223213 - 2²⁰ = 101032032174637 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101032033223113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50516016611606 + 50516016611607.

It is an arithmetic number, because the mean of its divisors is an integer number (50516016611607).

Almost surely, 2^{101032033223213} is an apocalyptic number.

It is an amenable number.

101032033223213 is a deficient number, since it is larger than the sum of its proper divisors (1).

101032033223213 is an equidigital number, since it uses as much as digits as its factorization.

101032033223213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3888, while the sum is 26.

Adding to 101032033223213 its reverse (312322330230101), we get a palindrome (413354363453314).

The spelling of 101032033223213 in words is "one hundred one trillion, thirty-two billion, thirty-three million, two hundred twenty-three thousand, two hundred thirteen".