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31133223133 is a prime number
BaseRepresentation
bin11100111111101011…
…110100100011011101
32222100201122121021021
4130333223310203131
51002230101120013
622145153004141
72151340013245
oct347753644335
988321577237
1031133223133
1112226990381
12604a553651
132c220a8b2c
141714b54b25
15c23373a8d
hex73faf48dd

31133223133 has 2 divisors, whose sum is σ = 31133223134. Its totient is φ = 31133223132.

The previous prime is 31133223101. The next prime is 31133223161. The reversal of 31133223133 is 33132233113.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 16685663929 + 14447559204 = 129173^2 + 120198^2 .

It is a cyclic number.

It is not a de Polignac number, because 31133223133 - 25 = 31133223101 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 31133223098 and 31133223107.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (31133623133) 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 as a sum of consecutive naturals, namely, 15566611566 + 15566611567.

It is an arithmetic number, because the mean of its divisors is an integer number (15566611567).

Almost surely, 231133223133 is an apocalyptic number.

It is an amenable number.

31133223133 is a deficient number, since it is larger than the sum of its proper divisors (1).

31133223133 is an equidigital number, since it uses as much as digits as its factorization.

31133223133 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2916, while the sum is 25.

Adding to 31133223133 its reverse (33132233113), we get a palindrome (64265456246).

The spelling of 31133223133 in words is "thirty-one billion, one hundred thirty-three million, two hundred twenty-three thousand, one hundred thirty-three".