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1231313303131 is a prime number
BaseRepresentation
bin10001111010101111111…
…111011111011001011011
311100201020100012201120021
4101322233333133121123
5130133212201200011
62341354005211311
7154650043250002
oct21725777373133
94321210181507
101231313303131
1143521929420a
1217a778400b37
138c15ca94c42
144384b157c39
1522068c81471
hex11eaffdf65b

1231313303131 has 2 divisors, whose sum is σ = 1231313303132. Its totient is φ = 1231313303130.

The previous prime is 1231313303089. The next prime is 1231313303147. The reversal of 1231313303131 is 1313033131321.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 1231313303131 - 29 = 1231313302619 is a prime.

It is a super-2 number, since 2×12313133031312 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1231313303096 and 1231313303105.

It is not a weakly prime, because it can be changed into another prime (1231313103131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 615656651565 + 615656651566.

It is an arithmetic number, because the mean of its divisors is an integer number (615656651566).

Almost surely, 21231313303131 is an apocalyptic number.

1231313303131 is a deficient number, since it is larger than the sum of its proper divisors (1).

1231313303131 is an equidigital number, since it uses as much as digits as its factorization.

1231313303131 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1458, while the sum is 25.

Adding to 1231313303131 its reverse (1313033131321), we get a palindrome (2544346434452).

The spelling of 1231313303131 in words is "one trillion, two hundred thirty-one billion, three hundred thirteen million, three hundred three thousand, one hundred thirty-one".