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3131110013 is a prime number
BaseRepresentation
bin1011101010100000…
…1111001001111101
322002012201212110112
42322220033021331
522403031010023
61234410315405
7140406665423
oct27250171175
98065655415
103131110013
111367480329
12734728b65
133ab8cb325
14219bb5113
15134d41478
hexbaa0f27d

3131110013 has 2 divisors, whose sum is σ = 3131110014. Its totient is φ = 3131110012.

The previous prime is 3131110009. The next prime is 3131110043. The reversal of 3131110013 is 3100111313.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3117882244 + 13227769 = 55838^2 + 3637^2 .

It is a cyclic number.

It is not a de Polignac number, because 3131110013 - 22 = 3131110009 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 3131110013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3131110043) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1565555006 + 1565555007.

It is an arithmetic number, because the mean of its divisors is an integer number (1565555007).

Almost surely, 23131110013 is an apocalyptic number.

It is an amenable number.

3131110013 is a deficient number, since it is larger than the sum of its proper divisors (1).

3131110013 is an equidigital number, since it uses as much as digits as its factorization.

3131110013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 27, while the sum is 14.

The square root of 3131110013 is about 55956.3223684330. The cubic root of 3131110013 is about 1462.9610907209.

Adding to 3131110013 its reverse (3100111313), we get a palindrome (6231221326).

The spelling of 3131110013 in words is "three billion, one hundred thirty-one million, one hundred ten thousand, thirteen".