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103133131033 is a prime number
BaseRepresentation
bin110000000001100110…
…1101011000100011001
3100212012112011220000211
41200003031223010121
53142204040143113
6115213444531121
710310510102212
oct1400315530431
9325175156024
10103133131033
113a813a66899
1217ba30b0aa1
13995796792a
144dc5200409
152a39329b3d
hex180336b119

103133131033 has 2 divisors, whose sum is σ = 103133131034. Its totient is φ = 103133131032.

The previous prime is 103133130977. The next prime is 103133131069. The reversal of 103133131033 is 330131331301.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 95711653129 + 7421477904 = 309373^2 + 86148^2 .

It is a cyclic number.

It is not a de Polignac number, because 103133131033 - 221 = 103131033881 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 103133130995 and 103133131013.

It is not a weakly prime, because it can be changed into another prime (103133831033) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51566565516 + 51566565517.

It is an arithmetic number, because the mean of its divisors is an integer number (51566565517).

Almost surely, 2103133131033 is an apocalyptic number.

It is an amenable number.

103133131033 is a deficient number, since it is larger than the sum of its proper divisors (1).

103133131033 is an equidigital number, since it uses as much as digits as its factorization.

103133131033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 729, while the sum is 22.

Adding to 103133131033 its reverse (330131331301), we get a palindrome (433264462334).

The spelling of 103133131033 in words is "one hundred three billion, one hundred thirty-three million, one hundred thirty-one thousand, thirty-three".