101011111103213 has 2 divisors, whose sum is σ = 101011111103214. Its totient is φ = 101011111103212.

The previous prime is 101011111103197. The next prime is 101011111103251. The reversal of 101011111103213 is 312301111110101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 87759086752324 + 13252024350889 = 9367982^2 + 3640333^2 .

It is a cyclic number.

It is not a de Polignac number, because 101011111103213 - 2⁴ = 101011111103197 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101011111103191 and 101011111103200.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101011111105213) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50505555551606 + 50505555551607.

It is an arithmetic number, because the mean of its divisors is an integer number (50505555551607).

Almost surely, 2^{101011111103213} is an apocalyptic number.

It is an amenable number.

101011111103213 is a deficient number, since it is larger than the sum of its proper divisors (1).

101011111103213 is an equidigital number, since it uses as much as digits as its factorization.

101011111103213 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18, while the sum is 17.

Adding to 101011111103213 its reverse (312301111110101), we get a palindrome (413312222213314).

The spelling of 101011111103213 in words is "one hundred one trillion, eleven billion, one hundred eleven million, one hundred three thousand, two hundred thirteen".