133301031313 has 2 divisors, whose sum is σ = 133301031314. Its totient is φ = 133301031312.

The previous prime is 133301031293. The next prime is 133301031341. The reversal of 133301031313 is 313130103331.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 71442874944 + 61858156369 = 267288^2 + 248713^2 .

It is a cyclic number.

It is not a de Polignac number, because 133301031313 - 2¹⁷ = 133300900241 is a prime.

It is not a weakly prime, because it can be changed into another prime (133301031343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66650515656 + 66650515657.

It is an arithmetic number, because the mean of its divisors is an integer number (66650515657).

Almost surely, 2^133301031313 is an apocalyptic number.

It is an amenable number.

133301031313 is a deficient number, since it is larger than the sum of its proper divisors (1).

133301031313 is an equidigital number, since it uses as much as digits as its factorization.

133301031313 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 133301031313 its reverse (313130103331), we get a palindrome (446431134644).

The spelling of 133301031313 in words is "one hundred thirty-three billion, three hundred one million, thirty-one thousand, three hundred thirteen".