100021001330213 has 2 divisors, whose sum is σ = 100021001330214. Its totient is φ = 100021001330212.

The previous prime is 100021001330203. The next prime is 100021001330221. The reversal of 100021001330213 is 312033100120001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 87457790460769 + 12563210869444 = 9351887^2 + 3544462^2 .

It is a cyclic number.

It is not a de Polignac number, because 100021001330213 - 2⁶ = 100021001330149 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100021001330191 and 100021001330200.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100021001330203) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50010500665106 + 50010500665107.

It is an arithmetic number, because the mean of its divisors is an integer number (50010500665107).

Almost surely, 2^{100021001330213} is an apocalyptic number.

It is an amenable number.

100021001330213 is a deficient number, since it is larger than the sum of its proper divisors (1).

100021001330213 is an equidigital number, since it uses as much as digits as its factorization.

100021001330213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 100021001330213 its reverse (312033100120001), we get a palindrome (412054101450214).

The spelling of 100021001330213 in words is "one hundred trillion, twenty-one billion, one million, three hundred thirty thousand, two hundred thirteen".