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13121122131 = 3213112146343
BaseRepresentation
bin11000011100001010…
…00110111101010011
31020212102201001210100
430032011012331103
5203333001402011
610005555103443
7643103461245
oct141605067523
936772631710
1013121122131
115623593297
1226622a1b83
1313114cc5c0
148c6898095
1551bdc9d56
hex30e146f53

13121122131 has 12 divisors (see below), whose sum is σ = 20410634608. Its totient is φ = 8074536624.

The previous prime is 13121122067. The next prime is 13121122153. The reversal of 13121122131 is 13122112131.

13121122131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13121122131 - 26 = 13121122067 is a prime.

It is a super-2 number, since 2×131211221312 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13121122831) 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 in 11 ways as a sum of consecutive naturals, for example, 56073055 + ... + 56073288.

Almost surely, 213121122131 is an apocalyptic number.

13121122131 is a deficient number, since it is larger than the sum of its proper divisors (7289512477).

13121122131 is a wasteful number, since it uses less digits than its factorization.

13121122131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112146362 (or 112146359 counting only the distinct ones).

The product of its digits is 72, while the sum is 18.

Adding to 13121122131 its reverse (13122112131), we get a palindrome (26243234262).

The spelling of 13121122131 in words is "thirteen billion, one hundred twenty-one million, one hundred twenty-two thousand, one hundred thirty-one".

Divisors: 1 3 9 13 39 117 112146343 336439029 1009317087 1457902459 4373707377 13121122131