133031524001 has 2 divisors, whose sum is σ = 133031524002. Its totient is φ = 133031524000.

The previous prime is 133031523929. The next prime is 133031524009. The reversal of 133031524001 is 100425130331.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 103516627600 + 29514896401 = 321740^2 + 171799^2 .

It is a cyclic number.

It is not a de Polignac number, because 133031524001 - 2¹⁰ = 133031522977 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (133031524009) 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, 66515762000 + 66515762001.

It is an arithmetic number, because the mean of its divisors is an integer number (66515762001).

Almost surely, 2^133031524001 is an apocalyptic number.

It is an amenable number.

133031524001 is a deficient number, since it is larger than the sum of its proper divisors (1).

133031524001 is an equidigital number, since it uses as much as digits as its factorization.

133031524001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1080, while the sum is 23.

Adding to 133031524001 its reverse (100425130331), we get a palindrome (233456654332).

The spelling of 133031524001 in words is "one hundred thirty-three billion, thirty-one million, five hundred twenty-four thousand, one".