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2122133112331 is a prime number
BaseRepresentation
bin11110111000011000111…
…111011000011000001011
321111212121002211210110221
4132320120333120120023
5234232112034043311
64302521113250511
7306214302554611
oct36703077303013
97455532753427
102122133112331
11748a9a8aa861
122a334a103a37
1312516866108b
14749d72216b1
153a30538b671
hex1ee18fd860b

2122133112331 has 2 divisors, whose sum is σ = 2122133112332. Its totient is φ = 2122133112330.

The previous prime is 2122133112329. The next prime is 2122133112343. The reversal of 2122133112331 is 1332113312212.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 2122133112331 - 21 = 2122133112329 is a prime.

It is a super-2 number, since 2×21221331123312 (a number of 25 digits) contains 22 as substring.

Together with 2122133112329, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 2122133112296 and 2122133112305.

It is not a weakly prime, because it can be changed into another prime (2122133112301) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1061066556165 + 1061066556166.

It is an arithmetic number, because the mean of its divisors is an integer number (1061066556166).

Almost surely, 22122133112331 is an apocalyptic number.

2122133112331 is a deficient number, since it is larger than the sum of its proper divisors (1).

2122133112331 is an equidigital number, since it uses as much as digits as its factorization.

2122133112331 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1296, while the sum is 25.

Adding to 2122133112331 its reverse (1332113312212), we get a palindrome (3454246424543).

The spelling of 2122133112331 in words is "two trillion, one hundred twenty-two billion, one hundred thirty-three million, one hundred twelve thousand, three hundred thirty-one".