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313311100133 is a prime number
BaseRepresentation
bin1001000111100101100…
…10111111110011100101
31002221201012002222100202
410203302302333303211
520113130120201013
6355533320120245
731431066260423
oct4436262776345
91087635088322
10313311100133
11110968a478a9
125087b306085
13237117b6915
1411242d30113
15823b0b3858
hex48f2cbfce5

313311100133 has 2 divisors, whose sum is σ = 313311100134. Its totient is φ = 313311100132.

The previous prime is 313311100117. The next prime is 313311100211. The reversal of 313311100133 is 331001113313.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 227627272609 + 85683827524 = 477103^2 + 292718^2 .

It is a cyclic number.

It is not a de Polignac number, because 313311100133 - 24 = 313311100117 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (313311100633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156655550066 + 156655550067.

It is an arithmetic number, because the mean of its divisors is an integer number (156655550067).

Almost surely, 2313311100133 is an apocalyptic number.

It is an amenable number.

313311100133 is a deficient number, since it is larger than the sum of its proper divisors (1).

313311100133 is an equidigital number, since it uses as much as digits as its factorization.

313311100133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 243, while the sum is 20.

Adding to 313311100133 its reverse (331001113313), we get a palindrome (644312213446).

The spelling of 313311100133 in words is "three hundred thirteen billion, three hundred eleven million, one hundred thousand, one hundred thirty-three".