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13312123332031 is a prime number
BaseRepresentation
bin1100000110110111100001…
…1000011110010110111111
31202010121220202121122010001
43001231320120132112333
53221101212033111111
644151301030455131
72542524553220266
oct301557030362677
952117822548101
1013312123332031
114272704635867
1215abb8b2044a7
13757435371274
1434044b2cb5dd
1518142b3291c1
hexc1b7861e5bf

13312123332031 has 2 divisors, whose sum is σ = 13312123332032. Its totient is φ = 13312123332030.

The previous prime is 13312123331963. The next prime is 13312123332043. The reversal of 13312123332031 is 13023332121331.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 13312123332031 - 29 = 13312123331519 is a prime.

It is a super-2 number, since 2×133121233320312 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13312123332061) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6656061666015 + 6656061666016.

It is an arithmetic number, because the mean of its divisors is an integer number (6656061666016).

Almost surely, 213312123332031 is an apocalyptic number.

13312123332031 is a deficient number, since it is larger than the sum of its proper divisors (1).

13312123332031 is an equidigital number, since it uses as much as digits as its factorization.

13312123332031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5832, while the sum is 28.

Adding to 13312123332031 its reverse (13023332121331), we get a palindrome (26335455453362).

The spelling of 13312123332031 in words is "thirteen trillion, three hundred twelve billion, one hundred twenty-three million, three hundred thirty-two thousand, thirty-one".