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1232133132131 = 11375955319277
BaseRepresentation
bin10001111011100000110…
…110111000111101100011
311100210100110212100112022
4101323200312320331203
5130141402040212011
62342011213052055
7155006256551006
oct21734066707543
94323313770468
101232133132131
114355aa038940
1217a966a8702b
138c26089b465
14438c7da553d
15220b5c238db
hex11ee0db8f63

1232133132131 has 32 divisors (see below), whose sum is σ = 1404276514560. Its totient is φ = 1071066326400.

The previous prime is 1232133132121. The next prime is 1232133132187. The reversal of 1232133132131 is 1312313312321.

It is a cyclic number.

It is not a de Polignac number, because 1232133132131 - 26 = 1232133132067 is a prime.

It is a super-2 number, since 2×12321331321312 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1232133132131.

It is not an unprimeable number, because it can be changed into a prime (1232133132121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 132811265 + ... + 132820541.

It is an arithmetic number, because the mean of its divisors is an integer number (43883641080).

Almost surely, 21232133132131 is an apocalyptic number.

1232133132131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1232133132131 is a deficient number, since it is larger than the sum of its proper divisors (172143382429).

1232133132131 is a wasteful number, since it uses less digits than its factorization.

1232133132131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14915.

The product of its digits is 1944, while the sum is 26.

Adding to 1232133132131 its reverse (1312313312321), we get a palindrome (2544446444452).

The spelling of 1232133132131 in words is "one trillion, two hundred thirty-two billion, one hundred thirty-three million, one hundred thirty-two thousand, one hundred thirty-one".

Divisors: 1 11 37 59 407 649 2183 5531 9277 24013 60841 102047 204647 326329 343249 547343 2251117 3589619 3775739 6020773 12074173 20251691 51311087 132815903 222768601 564421957 1898510219 3027354133 20883612409 33300895463 112012102921 1232133132131