Search a number
-
+
313301211133 is a prime number
BaseRepresentation
bin1001000111100100011…
…01010001011111111101
31002221200111111120012111
410203302031101133331
520113120102224013
6355532324134021
731430616232501
oct4436215213775
91087614446174
10313301211133
11110963403079
1250877b37311
132370c733741
14112418b8301
15823a2ad73d
hex48f23517fd

313301211133 has 2 divisors, whose sum is σ = 313301211134. Its totient is φ = 313301211132.

The previous prime is 313301211127. The next prime is 313301211163. The reversal of 313301211133 is 331112103313.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 304309999449 + 8991211684 = 551643^2 + 94822^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-313301211133 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (313301211163) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156650605566 + 156650605567.

It is an arithmetic number, because the mean of its divisors is an integer number (156650605567).

Almost surely, 2313301211133 is an apocalyptic number.

It is an amenable number.

313301211133 is a deficient number, since it is larger than the sum of its proper divisors (1).

313301211133 is an equidigital number, since it uses as much as digits as its factorization.

313301211133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 486, while the sum is 22.

Adding to 313301211133 its reverse (331112103313), we get a palindrome (644413314446).

The spelling of 313301211133 in words is "three hundred thirteen billion, three hundred one million, two hundred eleven thousand, one hundred thirty-three".