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13138825143077 is a prime number
BaseRepresentation
bin1011111100110001111100…
…0000010110001100100101
31201112001121022111111022022
42333030133000112030211
53210231303214034302
643535520513112525
72524151223012014
oct277143700261445
951461538444268
1013138825143077
1142061652a04a7
121582485b58745
13743ca801a2aa
14335ccb5caa7b
1517bb871878a2
hexbf31f016325

13138825143077 has 2 divisors, whose sum is σ = 13138825143078. Its totient is φ = 13138825143076.

The previous prime is 13138825143013. The next prime is 13138825143089. The reversal of 13138825143077 is 77034152883131.

It is a happy number.

13138825143077 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., 11787095698756 + 1351729444321 = 3433234^2 + 1162639^2 .

It is a cyclic number.

It is not a de Polignac number, because 13138825143077 - 26 = 13138825143013 is a prime.

It is a super-2 number, since 2×131388251430772 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13138825145077) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6569412571538 + 6569412571539.

It is an arithmetic number, because the mean of its divisors is an integer number (6569412571539).

Almost surely, 213138825143077 is an apocalyptic number.

It is an amenable number.

13138825143077 is a deficient number, since it is larger than the sum of its proper divisors (1).

13138825143077 is an equidigital number, since it uses as much as digits as its factorization.

13138825143077 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3386880, while the sum is 53.

The spelling of 13138825143077 in words is "thirteen trillion, one hundred thirty-eight billion, eight hundred twenty-five million, one hundred forty-three thousand, seventy-seven".