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131223232031033 is a prime number
BaseRepresentation
bin11101110101100011001010…
…001000011010100100111001
3122012121211002122212212002002
4131311203022020122210321
5114144430134344443113
61143031042013350345
736432365006336432
oct3565431210324471
9565554078785062
10131223232031033
11388a250755406a
1212873b36a983b5
13582b3b401c8cc
142459349d34489
15102863db28c58
hex7758ca21a939

131223232031033 has 2 divisors, whose sum is σ = 131223232031034. Its totient is φ = 131223232031032.

The previous prime is 131223232030997. The next prime is 131223232031041. The reversal of 131223232031033 is 330130232322131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 102951807231289 + 28271424799744 = 10146517^2 + 5317088^2 .

It is an emirp because it is prime and its reverse (330130232322131) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 131223232031033 - 224 = 131223215253817 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 131223232030987 and 131223232031005.

It is not a weakly prime, because it can be changed into another prime (131223232031093) 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, 65611616015516 + 65611616015517.

It is an arithmetic number, because the mean of its divisors is an integer number (65611616015517).

Almost surely, 2131223232031033 is an apocalyptic number.

It is an amenable number.

131223232031033 is a deficient number, since it is larger than the sum of its proper divisors (1).

131223232031033 is an equidigital number, since it uses as much as digits as its factorization.

131223232031033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11664, while the sum is 29.

Adding to 131223232031033 its reverse (330130232322131), we get a palindrome (461353464353164).

The spelling of 131223232031033 in words is "one hundred thirty-one trillion, two hundred twenty-three billion, two hundred thirty-two million, thirty-one thousand, thirty-three".