133031232001 has 2 divisors, whose sum is σ = 133031232002. Its totient is φ = 133031232000.

The previous prime is 133031231923. The next prime is 133031232017. The reversal of 133031232001 is 100232130331.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 91702374976 + 41328857025 = 302824^2 + 203295^2 .

It is a cyclic number.

It is not a de Polignac number, because 133031232001 - 2¹¹ = 133031229953 is a prime.

It is a super-3 number, since 3×133031232001³ (a number of 34 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 133031232001.

It is not a weakly prime, because it can be changed into another prime (133031232031) 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, 66515616000 + 66515616001.

It is an arithmetic number, because the mean of its divisors is an integer number (66515616001).

Almost surely, 2^133031232001 is an apocalyptic number.

It is an amenable number.

133031232001 is a deficient number, since it is larger than the sum of its proper divisors (1).

133031232001 is an equidigital number, since it uses as much as digits as its factorization.

133031232001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 133031232001 its reverse (100232130331), we get a palindrome (233263362332).

The spelling of 133031232001 in words is "one hundred thirty-three billion, thirty-one million, two hundred thirty-two thousand, one".