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1131313330033 is a prime number
BaseRepresentation
bin10000011101100111100…
…001110111011101110001
311000011010011121202012221
4100131213201313131301
5122013412203030113
62223415042521041
7144506666432635
oct20354741673561
94004104552187
101131313330033
113a6872977347
1216330a666181
13828b4294823
143ca82102dc5
151e664a4e98d
hex10767877771

1131313330033 has 2 divisors, whose sum is σ = 1131313330034. Its totient is φ = 1131313330032.

The previous prime is 1131313330027. The next prime is 1131313330057. The reversal of 1131313330033 is 3300333131311.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1092501571984 + 38811758049 = 1045228^2 + 197007^2 .

It is a cyclic number.

It is not a de Polignac number, because 1131313330033 - 213 = 1131313321841 is a prime.

It is not a weakly prime, because it can be changed into another prime (1131313330013) 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, 565656665016 + 565656665017.

It is an arithmetic number, because the mean of its divisors is an integer number (565656665017).

Almost surely, 21131313330033 is an apocalyptic number.

It is an amenable number.

1131313330033 is a deficient number, since it is larger than the sum of its proper divisors (1).

1131313330033 is an equidigital number, since it uses as much as digits as its factorization.

1131313330033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2187, while the sum is 25.

Adding to 1131313330033 its reverse (3300333131311), we get a palindrome (4431646461344).

The spelling of 1131313330033 in words is "one trillion, one hundred thirty-one billion, three hundred thirteen million, three hundred thirty thousand, thirty-three".