Search a number
-
+
213310331113133 is a prime number
BaseRepresentation
bin110000100000000100101110…
…100000110100111010101101
31000222021021020201212112112202
4300200010232200310322231
5210424334024231110013
62033401225134511245
762634106600116122
oct6040045640647255
91028237221775482
10213310331113133
1161a70448a19571
121bb10b7a365525
139204102235997
143a963bcca2749
15199da57d9a858
hexc2012e834ead

213310331113133 has 2 divisors, whose sum is σ = 213310331113134. Its totient is φ = 213310331113132.

The previous prime is 213310331113123. The next prime is 213310331113147. The reversal of 213310331113133 is 331311133013312.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 136615001050564 + 76695330062569 = 11688242^2 + 8757587^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-213310331113133 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 213310331113096 and 213310331113105.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (213310331113123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106655165556566 + 106655165556567.

It is an arithmetic number, because the mean of its divisors is an integer number (106655165556567).

Almost surely, 2213310331113133 is an apocalyptic number.

It is an amenable number.

213310331113133 is a deficient number, since it is larger than the sum of its proper divisors (1).

213310331113133 is an equidigital number, since it uses as much as digits as its factorization.

213310331113133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4374, while the sum is 29.

Adding to 213310331113133 its reverse (331311133013312), we get a palindrome (544621464126445).

The spelling of 213310331113133 in words is "two hundred thirteen trillion, three hundred ten billion, three hundred thirty-one million, one hundred thirteen thousand, one hundred thirty-three".