100001013212213 has 2 divisors, whose sum is σ = 100001013212214. Its totient is φ = 100001013212212.

The previous prime is 100001013212207. The next prime is 100001013212323. The reversal of 100001013212213 is 312212310100001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 63902149429924 + 36098863782289 = 7993882^2 + 6008233^2 .

It is an emirp because it is prime and its reverse (312212310100001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100001013212213 - 2²⁶ = 100000946103349 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100001013212191 and 100001013212200.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100001013214213) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50000506606106 + 50000506606107.

It is an arithmetic number, because the mean of its divisors is an integer number (50000506606107).

Almost surely, 2^{100001013212213} is an apocalyptic number.

It is an amenable number.

100001013212213 is a deficient number, since it is larger than the sum of its proper divisors (1).

100001013212213 is an equidigital number, since it uses as much as digits as its factorization.

100001013212213 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 100001013212213 its reverse (312212310100001), we get a palindrome (412213323312214).

The spelling of 100001013212213 in words is "one hundred trillion, one billion, thirteen million, two hundred twelve thousand, two hundred thirteen".