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31132123213 is a prime number
BaseRepresentation
bin11100111111100111…
…101000000001001101
32222100122120201110111
4130333213220001031
51002224310420323
622145113240021
72151324452422
oct347747500115
988318521414
1031132123213
11122262a9a54
12604a103011
132c21ab22a9
141714949d49
15c23207c0d
hex73f9e804d

31132123213 has 2 divisors, whose sum is σ = 31132123214. Its totient is φ = 31132123212.

The previous prime is 31132123201. The next prime is 31132123237. The reversal of 31132123213 is 31232123113.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 19350757449 + 11781365764 = 139107^2 + 108542^2 .

It is an emirp because it is prime and its reverse (31232123113) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-31132123213 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (31132123013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15566061606 + 15566061607.

It is an arithmetic number, because the mean of its divisors is an integer number (15566061607).

Almost surely, 231132123213 is an apocalyptic number.

It is an amenable number.

31132123213 is a deficient number, since it is larger than the sum of its proper divisors (1).

31132123213 is an equidigital number, since it uses as much as digits as its factorization.

31132123213 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 648, while the sum is 22.

Adding to 31132123213 its reverse (31232123113), we get a palindrome (62364246326).

The spelling of 31132123213 in words is "thirty-one billion, one hundred thirty-two million, one hundred twenty-three thousand, two hundred thirteen".