101331010102213 has 2 divisors, whose sum is σ = 101331010102214. Its totient is φ = 101331010102212.

The previous prime is 101331010102199. The next prime is 101331010102219. The reversal of 101331010102213 is 312201010133101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99564614934849 + 1766395167364 = 9978207^2 + 1329058^2 .

It is a cyclic number.

It is not a de Polignac number, because 101331010102213 - 2¹³ = 101331010094021 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101331010102219) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50665505051106 + 50665505051107.

It is an arithmetic number, because the mean of its divisors is an integer number (50665505051107).

Almost surely, 2^{101331010102213} is an apocalyptic number.

It is an amenable number.

101331010102213 is a deficient number, since it is larger than the sum of its proper divisors (1).

101331010102213 is an equidigital number, since it uses as much as digits as its factorization.

101331010102213 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 19.

Adding to 101331010102213 its reverse (312201010133101), we get a palindrome (413532020235314).

The spelling of 101331010102213 in words is "one hundred one trillion, three hundred thirty-one billion, ten million, one hundred two thousand, two hundred thirteen".