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13231013233129 is a prime number
BaseRepresentation
bin1100000010001001010111…
…0110000000000111101001
31201211212120001122200200221
43000202111312000013221
53213234103341430004
644050124335530041
72533623561601606
oct300422566000751
951755501580627
1013231013233129
114241272046a7a
121598313689921
1374c8aa260bc3
1433a554d456ad
1517e28067c354
hexc0895d801e9

13231013233129 has 2 divisors, whose sum is σ = 13231013233130. Its totient is φ = 13231013233128.

The previous prime is 13231013233117. The next prime is 13231013233147. The reversal of 13231013233129 is 92133231013231.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 13169495840400 + 61517392729 = 3628980^2 + 248027^2 .

It is a cyclic number.

It is not a de Polignac number, because 13231013233129 - 27 = 13231013233001 is a prime.

It is a super-2 number, since 2×132310132331292 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13231013233094 and 13231013233103.

It is not a weakly prime, because it can be changed into another prime (13231013233169) 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, 6615506616564 + 6615506616565.

It is an arithmetic number, because the mean of its divisors is an integer number (6615506616565).

Almost surely, 213231013233129 is an apocalyptic number.

It is an amenable number.

13231013233129 is a deficient number, since it is larger than the sum of its proper divisors (1).

13231013233129 is an equidigital number, since it uses as much as digits as its factorization.

13231013233129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 17496, while the sum is 34.

The spelling of 13231013233129 in words is "thirteen trillion, two hundred thirty-one billion, thirteen million, two hundred thirty-three thousand, one hundred twenty-nine".