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313133133011 is a prime number
BaseRepresentation
bin1001000111010000011…
…00000110110011010011
31002221020210020022100212
410203220030012303103
520112244040224021
6355503521434335
731423505500016
oct4435014066323
91087223208325
10313133133011
11110887543536
125082b79b9ab
13236b397512a
141122744537d
15822a65c85b
hex48e8306cd3

313133133011 has 2 divisors, whose sum is σ = 313133133012. Its totient is φ = 313133133010.

The previous prime is 313133132981. The next prime is 313133133043. The reversal of 313133133011 is 110331331313.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 313133133011 - 26 = 313133132947 is a prime.

It is a super-2 number, since 2×3131331330112 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (313133133211) 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, 156566566505 + 156566566506.

It is an arithmetic number, because the mean of its divisors is an integer number (156566566506).

Almost surely, 2313133133011 is an apocalyptic number.

313133133011 is a deficient number, since it is larger than the sum of its proper divisors (1).

313133133011 is an equidigital number, since it uses as much as digits as its factorization.

313133133011 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 729, while the sum is 23.

Adding to 313133133011 its reverse (110331331313), we get a palindrome (423464464324).

The spelling of 313133133011 in words is "three hundred thirteen billion, one hundred thirty-three million, one hundred thirty-three thousand, eleven".