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313131031133 is a prime number
BaseRepresentation
bin1001000111010000001…
…00000101101001011101
31002221020122021112010112
410203220010011221131
520112243020444013
6355503404415405
731423451564054
oct4435004055135
91087218245115
10313131031133
11110886338348
125082ab47565
13236b33ba50b
141122705939b
15822a394ba8
hex48e8105a5d

313131031133 has 2 divisors, whose sum is σ = 313131031134. Its totient is φ = 313131031132.

The previous prime is 313131031079. The next prime is 313131031151. The reversal of 313131031133 is 331130131313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 311405293369 + 1725737764 = 558037^2 + 41542^2 .

It is a cyclic number.

It is not a de Polignac number, because 313131031133 - 224 = 313114253917 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 313131031099 and 313131031108.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (313131031183) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156565515566 + 156565515567.

It is an arithmetic number, because the mean of its divisors is an integer number (156565515567).

Almost surely, 2313131031133 is an apocalyptic number.

It is an amenable number.

313131031133 is a deficient number, since it is larger than the sum of its proper divisors (1).

313131031133 is an equidigital number, since it uses as much as digits as its factorization.

313131031133 is an evil number, because the sum of its binary digits is even.

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

Adding to 313131031133 its reverse (331130131313), we get a palindrome (644261162446).

The spelling of 313131031133 in words is "three hundred thirteen billion, one hundred thirty-one million, thirty-one thousand, one hundred thirty-three".