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313133132981 is a prime number
BaseRepresentation
bin1001000111010000011…
…00000110110010110101
31002221020210020022022202
410203220030012302311
520112244040223411
6355503521434245
731423505466644
oct4435014066265
91087223208282
10313133132981
11110887543509
125082b79b985
13236b3975106
141122744535b
15822a65c83b
hex48e8306cb5

313133132981 has 2 divisors, whose sum is σ = 313133132982. Its totient is φ = 313133132980.

The previous prime is 313133132957. The next prime is 313133133011. The reversal of 313133132981 is 189231331313.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 300687722500 + 12445410481 = 548350^2 + 111559^2 .

It is a cyclic number.

It is not a de Polignac number, because 313133132981 - 218 = 313132870837 is a prime.

It is a super-2 number, since 2×3131331329812 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (313133132951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156566566490 + 156566566491.

It is an arithmetic number, because the mean of its divisors is an integer number (156566566491).

Almost surely, 2313133132981 is an apocalyptic number.

It is an amenable number.

313133132981 is a deficient number, since it is larger than the sum of its proper divisors (1).

313133132981 is an equidigital number, since it uses as much as digits as its factorization.

313133132981 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 34992, while the sum is 38.

The spelling of 313133132981 in words is "three hundred thirteen billion, one hundred thirty-three million, one hundred thirty-two thousand, nine hundred eighty-one".