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200133132031033 is a prime number
BaseRepresentation
bin101101100000010100100000…
…001111100001010000111001
3222020121112121002000222001121
4231200110200033201100321
5202212440123244443113
61545351520330545241
760104066403024625
oct5540244017412071
9866545532028047
10200133132031033
115884aa91631783
121a543184b98221
13878961ccc4cc6
14375c6d1064185
151820dc6d76e8d
hexb605203e1439

200133132031033 has 2 divisors, whose sum is σ = 200133132031034. Its totient is φ = 200133132031032.

The previous prime is 200133132031031. The next prime is 200133132031057. The reversal of 200133132031033 is 330130231331002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 150634702928889 + 49498429102144 = 12273333^2 + 7035512^2 .

It is a cyclic number.

It is not a de Polignac number, because 200133132031033 - 21 = 200133132031031 is a prime.

Together with 200133132031031, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 200133132030989 and 200133132031007.

It is not a weakly prime, because it can be changed into another prime (200133132031031) 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, 100066566015516 + 100066566015517.

It is an arithmetic number, because the mean of its divisors is an integer number (100066566015517).

Almost surely, 2200133132031033 is an apocalyptic number.

It is an amenable number.

200133132031033 is a deficient number, since it is larger than the sum of its proper divisors (1).

200133132031033 is an equidigital number, since it uses as much as digits as its factorization.

200133132031033 is an odious number, because the sum of its binary digits is odd.

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

Adding to 200133132031033 its reverse (330130231331002), we get a palindrome (530263363362035).

The spelling of 200133132031033 in words is "two hundred trillion, one hundred thirty-three billion, one hundred thirty-two million, thirty-one thousand, thirty-three".