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133031435237 is a prime number
BaseRepresentation
bin111101111100101001…
…0101001101111100101
3110201101012010002222222
41323321102221233211
54134422021411422
6141040325202125
712416433353651
oct1737122515745
9421335102888
10133031435237
1151466860308
1221947b60345
13c710c443ac
14661dd35a61
1536d9066842
hex1ef94a9be5

133031435237 has 2 divisors, whose sum is σ = 133031435238. Its totient is φ = 133031435236.

The previous prime is 133031435233. The next prime is 133031435239. The reversal of 133031435237 is 732534130331.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 72469178401 + 60562256836 = 269201^2 + 246094^2 .

It is a cyclic number.

It is not a de Polignac number, because 133031435237 - 22 = 133031435233 is a prime.

It is a super-2 number, since 2×1330314352372 (a number of 23 digits) contains 22 as substring.

Together with 133031435239, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 133031435197 and 133031435206.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (133031435233) 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, 66515717618 + 66515717619.

It is an arithmetic number, because the mean of its divisors is an integer number (66515717619).

Almost surely, 2133031435237 is an apocalyptic number.

It is an amenable number.

133031435237 is a deficient number, since it is larger than the sum of its proper divisors (1).

133031435237 is an equidigital number, since it uses as much as digits as its factorization.

133031435237 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 68040, while the sum is 35.

Adding to 133031435237 its reverse (732534130331), we get a palindrome (865565565568).

The spelling of 133031435237 in words is "one hundred thirty-three billion, thirty-one million, four hundred thirty-five thousand, two hundred thirty-seven".