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13013311141 is a prime number
BaseRepresentation
bin11000001111010011…
…10101111010100101
31020120220211200220201
430013221311322211
5203122401424031
65551144230501
7640324214425
oct140751657245
936526750821
1013013311141
1155787472a6
12263216b431
1312c508270c
148b6432485
155126d0d61
hex307a75ea5

13013311141 has 2 divisors, whose sum is σ = 13013311142. Its totient is φ = 13013311140.

The previous prime is 13013311127. The next prime is 13013311163. The reversal of 13013311141 is 14111331031.

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., 12852756900 + 160554241 = 113370^2 + 12671^2 .

It is a cyclic number.

It is not a de Polignac number, because 13013311141 - 211 = 13013309093 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13013311121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6506655570 + 6506655571.

It is an arithmetic number, because the mean of its divisors is an integer number (6506655571).

Almost surely, 213013311141 is an apocalyptic number.

It is an amenable number.

13013311141 is a deficient number, since it is larger than the sum of its proper divisors (1).

13013311141 is an equidigital number, since it uses as much as digits as its factorization.

13013311141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 13013311141 its reverse (14111331031), we get a palindrome (27124642172).

The spelling of 13013311141 in words is "thirteen billion, thirteen million, three hundred eleven thousand, one hundred forty-one".