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13121122133 = 723491165983
BaseRepresentation
bin11000011100001010…
…00110111101010101
31020212102201001210102
430032011012331111
5203333001402013
610005555103445
7643103461250
oct141605067525
936772631712
1013121122133
115623593299
1226622a1b85
1313114cc5c2
148c6898097
1551bdc9d58
hex30e146f55

13121122133 has 16 divisors (see below), whose sum is σ = 15679512576. Its totient is φ = 10735715760.

The previous prime is 13121122067. The next prime is 13121122153. The reversal of 13121122133 is 33122112131.

It is a happy number.

13121122133 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 13121122133 - 210 = 13121121109 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13121122153) 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 15 ways as a sum of consecutive naturals, for example, 3941 + ... + 162042.

It is an arithmetic number, because the mean of its divisors is an integer number (979969536).

Almost surely, 213121122133 is an apocalyptic number.

It is an amenable number.

13121122133 is a deficient number, since it is larger than the sum of its proper divisors (2558390443).

13121122133 is a wasteful number, since it uses less digits than its factorization.

13121122133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166504.

The product of its digits is 216, while the sum is 20.

Adding to 13121122133 its reverse (33122112131), we get a palindrome (46243234264).

The spelling of 13121122133 in words is "thirteen billion, one hundred twenty-one million, one hundred twenty-two thousand, one hundred thirty-three".

Divisors: 1 7 23 161 491 3437 11293 79051 165983 1161881 3817609 26723263 81497653 570483571 1874446019 13121122133