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10113322213 is a prime number
BaseRepresentation
bin10010110101100110…
…10000110011100101
3222002210222222222101
421122303100303211
5131203002302323
64351311332101
7505421551261
oct113263206345
928083888871
1010113322213
11431a785735
121b62b21031
13c52316a37
146bd2210a1
153e2ce4dad
hex25acd0ce5

10113322213 has 2 divisors, whose sum is σ = 10113322214. Its totient is φ = 10113322212.

The previous prime is 10113322211. The next prime is 10113322229. The reversal of 10113322213 is 31222331101.

10113322213 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10099647009 + 13675204 = 100497^2 + 3698^2 .

It is a cyclic number.

It is not a de Polignac number, because 10113322213 - 21 = 10113322211 is a prime.

Together with 10113322211, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10113322211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5056661106 + 5056661107.

It is an arithmetic number, because the mean of its divisors is an integer number (5056661107).

Almost surely, 210113322213 is an apocalyptic number.

It is an amenable number.

10113322213 is a deficient number, since it is larger than the sum of its proper divisors (1).

10113322213 is an equidigital number, since it uses as much as digits as its factorization.

10113322213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 10113322213 its reverse (31222331101), we get a palindrome (41335653314).

The spelling of 10113322213 in words is "ten billion, one hundred thirteen million, three hundred twenty-two thousand, two hundred thirteen".