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133020331331 is a prime number
BaseRepresentation
bin111101111100010100…
…0010010110101000011
3110201100102012222022012
41323320220102311003
54134411201100311
6141035251203135
712416240106026
oct1737050226503
9421312188265
10133020331331
1151460566828
12219442a64ab
13c70b857234
14661c6851bd
1536d80c178b
hex1ef8a12d43

133020331331 has 2 divisors, whose sum is σ = 133020331332. Its totient is φ = 133020331330.

The previous prime is 133020331319. The next prime is 133020331343. The reversal of 133020331331 is 133133020331.

It is a balanced prime because it is at equal distance from previous prime (133020331319) and next prime (133020331343).

It is an emirp because it is prime and its reverse (133133020331) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 133020331331 - 26 = 133020331267 is a prime.

It is a super-2 number, since 2×1330203313312 (a number of 23 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a junction number, because it is equal to n+sod(n) for n = 133020331297 and 133020331306.

It is not a weakly prime, because it can be changed into another prime (133020331351) 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, 66510165665 + 66510165666.

It is an arithmetic number, because the mean of its divisors is an integer number (66510165666).

Almost surely, 2133020331331 is an apocalyptic number.

133020331331 is a deficient number, since it is larger than the sum of its proper divisors (1).

133020331331 is an equidigital number, since it uses as much as digits as its factorization.

133020331331 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1458, while the sum is 23.

Adding to 133020331331 its reverse (133133020331), we get a palindrome (266153351662).

The spelling of 133020331331 in words is "one hundred thirty-three billion, twenty million, three hundred thirty-one thousand, three hundred thirty-one".