101011111000213 has 2 divisors, whose sum is σ = 101011111000214. Its totient is φ = 101011111000212.

The previous prime is 101011111000201. The next prime is 101011111000223. The reversal of 101011111000213 is 312000111110101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 76235634615204 + 24775476385009 = 8731302^2 + 4977497^2 .

It is a cyclic number.

It is not a de Polignac number, because 101011111000213 - 2¹³ = 101011110992021 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101011111000193 and 101011111000202.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101011111000223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50505555500106 + 50505555500107.

It is an arithmetic number, because the mean of its divisors is an integer number (50505555500107).

Almost surely, 2^{101011111000213} is an apocalyptic number.

It is an amenable number.

101011111000213 is a deficient number, since it is larger than the sum of its proper divisors (1).

101011111000213 is an equidigital number, since it uses as much as digits as its factorization.

101011111000213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6, while the sum is 13.

Adding to 101011111000213 its reverse (312000111110101), we get a palindrome (413011222110314).

The spelling of 101011111000213 in words is "one hundred one trillion, eleven billion, one hundred eleven million, two hundred thirteen", and thus it is an aban number.