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10311131317 is a prime number
BaseRepresentation
bin10011001101001011…
…10110000010110101
3222121121012202001111
421212211312002311
5132104122200232
64423055155021
7513343112224
oct114645660265
928547182044
1010311131317
114411401633
121bb9215a71
13c842b4a46
146db5d2cbb
1540536a047
hex2669760b5

10311131317 has 2 divisors, whose sum is σ = 10311131318. Its totient is φ = 10311131316.

The previous prime is 10311131297. The next prime is 10311131321. The reversal of 10311131317 is 71313111301.

It is a happy number.

10311131317 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9141080881 + 1170050436 = 95609^2 + 34206^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10311131317 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10311132317) 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, 5155565658 + 5155565659.

It is an arithmetic number, because the mean of its divisors is an integer number (5155565659).

Almost surely, 210311131317 is an apocalyptic number.

It is an amenable number.

10311131317 is a deficient number, since it is larger than the sum of its proper divisors (1).

10311131317 is an equidigital number, since it uses as much as digits as its factorization.

10311131317 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 189, while the sum is 22.

Adding to 10311131317 its reverse (71313111301), we get a palindrome (81624242618).

The spelling of 10311131317 in words is "ten billion, three hundred eleven million, one hundred thirty-one thousand, three hundred seventeen".