101012310130213 has 2 divisors, whose sum is σ = 101012310130214. Its totient is φ = 101012310130212.

The previous prime is 101012310130049. The next prime is 101012310130229. The reversal of 101012310130213 is 312031013210101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 75522756686689 + 25489553443524 = 8690383^2 + 5048718^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101012310130213 is a prime.

It is a super-3 number, since 3×101012310130213³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101012310130253) 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, 50506155065106 + 50506155065107.

It is an arithmetic number, because the mean of its divisors is an integer number (50506155065107).

Almost surely, 2^{101012310130213} is an apocalyptic number.

It is an amenable number.

101012310130213 is a deficient number, since it is larger than the sum of its proper divisors (1).

101012310130213 is an equidigital number, since it uses as much as digits as its factorization.

101012310130213 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 101012310130213 its reverse (312031013210101), we get a palindrome (413043323340314).

The spelling of 101012310130213 in words is "one hundred one trillion, twelve billion, three hundred ten million, one hundred thirty thousand, two hundred thirteen".