10133010132001 has 2 divisors, whose sum is σ = 10133010132002. Its totient is φ = 10133010132000.

The previous prime is 10133010131929. The next prime is 10133010132023. The reversal of 10133010132001 is 10023101033101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5108508560401 + 5024501571600 = 2260201^2 + 2241540^2 .

It is a cyclic number.

It is not a de Polignac number, because 10133010132001 - 2⁴¹ = 7933986876449 is a prime.

It is not a weakly prime, because it can be changed into another prime (10133010132071) 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, 5066505066000 + 5066505066001.

It is an arithmetic number, because the mean of its divisors is an integer number (5066505066001).

Almost surely, 2^{10133010132001} is an apocalyptic number.

It is an amenable number.

10133010132001 is a deficient number, since it is larger than the sum of its proper divisors (1).

10133010132001 is an equidigital number, since it uses as much as digits as its factorization.

10133010132001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 10133010132001 its reverse (10023101033101), we get a palindrome (20156111165102).

The spelling of 10133010132001 in words is "ten trillion, one hundred thirty-three billion, ten million, one hundred thirty-two thousand, one".