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10133232313033 is a prime number
BaseRepresentation
bin1001001101110101001110…
…1101100110001011001001
31022212201122101100000100201
42103131103231212023021
52312010324433004113
633315050451532201
72064046641332644
oct223352355461311
938781571300321
1010133232313033
113257530516835
121177a7abba061
135867378a35cb
142706459d4a5b
151288c6938cdd
hex93753b662c9

10133232313033 has 2 divisors, whose sum is σ = 10133232313034. Its totient is φ = 10133232313032.

The previous prime is 10133232313021. The next prime is 10133232313037. The reversal of 10133232313033 is 33031323233101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6625414224144 + 3507818088889 = 2573988^2 + 1872917^2 .

It is a cyclic number.

It is not a de Polignac number, because 10133232313033 - 233 = 10124642378441 is a prime.

It is a super-2 number, since 2×101332323130332 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10133232312992 and 10133232313010.

It is not a weakly prime, because it can be changed into another prime (10133232313037) 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, 5066616156516 + 5066616156517.

It is an arithmetic number, because the mean of its divisors is an integer number (5066616156517).

Almost surely, 210133232313033 is an apocalyptic number.

It is an amenable number.

10133232313033 is a deficient number, since it is larger than the sum of its proper divisors (1).

10133232313033 is an equidigital number, since it uses as much as digits as its factorization.

10133232313033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8748, while the sum is 28.

Adding to 10133232313033 its reverse (33031323233101), we get a palindrome (43164555546134).

The spelling of 10133232313033 in words is "ten trillion, one hundred thirty-three billion, two hundred thirty-two million, three hundred thirteen thousand, thirty-three".