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133313133001 is a prime number
BaseRepresentation
bin111110000101000010…
…1001111100111001001
3110202002211011211200111
41330022011033213021
54141011130224001
6141124311034321
712426423635146
oct1741205174711
9422084154614
10133313133001
11515a0873a84
1221a0636b9a1
13c757404769
1466495033cd
153703b5c851
hex1f0a14f9c9

133313133001 has 2 divisors, whose sum is σ = 133313133002. Its totient is φ = 133313133000.

The previous prime is 133313132987. The next prime is 133313133011. The reversal of 133313133001 is 100331313331.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 75086960400 + 58226172601 = 274020^2 + 241301^2 .

It is a cyclic number.

It is not a de Polignac number, because 133313133001 - 25 = 133313132969 is a prime.

It is not a weakly prime, because it can be changed into another prime (133313133011) 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, 66656566500 + 66656566501.

It is an arithmetic number, because the mean of its divisors is an integer number (66656566501).

Almost surely, 2133313133001 is an apocalyptic number.

It is an amenable number.

133313133001 is a deficient number, since it is larger than the sum of its proper divisors (1).

133313133001 is an equidigital number, since it uses as much as digits as its factorization.

133313133001 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 133313133001 its reverse (100331313331), we get a palindrome (233644446332).

The spelling of 133313133001 in words is "one hundred thirty-three billion, three hundred thirteen million, one hundred thirty-three thousand, one".