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311213311132021 is a prime number
BaseRepresentation
bin100011011000010111111111…
…0110111000000000101110101
31111210220200221202010112000121
41012300233332313000011311
5311242404330122211041
63021521231005411541
7122360263653450454
oct10660577667000565
91453820852115017
10311213311132021
1190186907902091
122aaa3284269bb1
131048639b8146cc
1456bcb39c88b9b
1525ea58bd9b7d1
hex11b0bfedc0175

311213311132021 has 2 divisors, whose sum is σ = 311213311132022. Its totient is φ = 311213311132020.

The previous prime is 311213311132013. The next prime is 311213311132027. The reversal of 311213311132021 is 120231113312113.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 308176269502500 + 3037041629521 = 17554950^2 + 1742711^2 .

It is a cyclic number.

It is not a de Polignac number, because 311213311132021 - 23 = 311213311132013 is a prime.

It is a super-2 number, since 2×3112133111320212 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (311213311132027) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 155606655566010 + 155606655566011.

It is an arithmetic number, because the mean of its divisors is an integer number (155606655566011).

Almost surely, 2311213311132021 is an apocalyptic number.

It is an amenable number.

311213311132021 is a deficient number, since it is larger than the sum of its proper divisors (1).

311213311132021 is an equidigital number, since it uses as much as digits as its factorization.

311213311132021 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 648, while the sum is 25.

Adding to 311213311132021 its reverse (120231113312113), we get a palindrome (431444424444134).

The spelling of 311213311132021 in words is "three hundred eleven trillion, two hundred thirteen billion, three hundred eleven million, one hundred thirty-two thousand, twenty-one".