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12132331111331 is a prime number
BaseRepresentation
bin1011000010001100011101…
…0010010100001110100011
31120221211200000102001222222
42300203013102110032203
53042234003231030311
641445303241021255
72361350321625554
oct260430722241643
946854600361888
1012132331111331
113958324694422
12143b3b118482b
136a00c6510322
142dd2ca8d432b
151608ca74dadb
hexb08c74943a3

12132331111331 has 2 divisors, whose sum is σ = 12132331111332. Its totient is φ = 12132331111330.

The previous prime is 12132331111309. The next prime is 12132331111343. The reversal of 12132331111331 is 13311113323121.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 12132331111331 - 222 = 12132326917027 is a prime.

It is a super-3 number, since 3×121323311113313 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 12132331111331.

It is not a weakly prime, because it can be changed into another prime (12132331111231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6066165555665 + 6066165555666.

It is an arithmetic number, because the mean of its divisors is an integer number (6066165555666).

Almost surely, 212132331111331 is an apocalyptic number.

12132331111331 is a deficient number, since it is larger than the sum of its proper divisors (1).

12132331111331 is an equidigital number, since it uses as much as digits as its factorization.

12132331111331 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 972, while the sum is 26.

Adding to 12132331111331 its reverse (13311113323121), we get a palindrome (25443444434452).

The spelling of 12132331111331 in words is "twelve trillion, one hundred thirty-two billion, three hundred thirty-one million, one hundred eleven thousand, three hundred thirty-one".