101033300213 has 2 divisors, whose sum is σ = 101033300214. Its totient is φ = 101033300212.

The previous prime is 101033300189. The next prime is 101033300273. The reversal of 101033300213 is 312003330101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100376813329 + 656486884 = 316823^2 + 25622^2 .

It is a cyclic number.

It is not a de Polignac number, because 101033300213 - 2²² = 101029105909 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101033300191 and 101033300200.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101033300273) 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, 50516650106 + 50516650107.

It is an arithmetic number, because the mean of its divisors is an integer number (50516650107).

Almost surely, 2^101033300213 is an apocalyptic number.

It is an amenable number.

101033300213 is a deficient number, since it is larger than the sum of its proper divisors (1).

101033300213 is an equidigital number, since it uses as much as digits as its factorization.

101033300213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 101033300213 its reverse (312003330101), we get a palindrome (413036630314).

The spelling of 101033300213 in words is "one hundred one billion, thirty-three million, three hundred thousand, two hundred thirteen".