21132133092001 has 2 divisors, whose sum is σ = 21132133092002. Its totient is φ = 21132133092000.

The previous prime is 21132133091989. The next prime is 21132133092017. The reversal of 21132133092001 is 10029033123112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 20744563344400 + 387569747601 = 4554620^2 + 622551^2 .

It is a cyclic number.

It is not a de Polignac number, because 21132133092001 - 2⁷ = 21132133091873 is a prime.

It is not a weakly prime, because it can be changed into another prime (21132133092601) 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, 10566066546000 + 10566066546001.

It is an arithmetic number, because the mean of its divisors is an integer number (10566066546001).

Almost surely, 2^{21132133092001} is an apocalyptic number.

It is an amenable number.

21132133092001 is a deficient number, since it is larger than the sum of its proper divisors (1).

21132133092001 is an equidigital number, since it uses as much as digits as its factorization.

21132133092001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1944, while the sum is 28.

The spelling of 21132133092001 in words is "twenty-one trillion, one hundred thirty-two billion, one hundred thirty-three million, ninety-two thousand, one".