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313133122933 is a prime number
BaseRepresentation
bin1001000111010000011…
…00000100010101110101
31002221020210012210112121
410203220030010111311
520112244034413213
6355503521315541
731423505425441
oct4435014042565
91087223183477
10313133122933
11110887536a04
125082b795bb1
13236b3970677
1411227441821
15822a65988d
hex48e8304575

313133122933 has 2 divisors, whose sum is σ = 313133122934. Its totient is φ = 313133122932.

The previous prime is 313133122909. The next prime is 313133123021. The reversal of 313133122933 is 339221331313.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 294412589604 + 18720533329 = 542598^2 + 136823^2 .

It is an emirp because it is prime and its reverse (339221331313) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 313133122933 - 213 = 313133114741 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (313133122033) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156566561466 + 156566561467.

It is an arithmetic number, because the mean of its divisors is an integer number (156566561467).

Almost surely, 2313133122933 is an apocalyptic number.

It is an amenable number.

313133122933 is a deficient number, since it is larger than the sum of its proper divisors (1).

313133122933 is an equidigital number, since it uses as much as digits as its factorization.

313133122933 is an evil number, because the sum of its binary digits is even.

The product of its digits is 26244, while the sum is 34.

The spelling of 313133122933 in words is "three hundred thirteen billion, one hundred thirty-three million, one hundred twenty-two thousand, nine hundred thirty-three".