21133311032129 has 2 divisors, whose sum is σ = 21133311032130. Its totient is φ = 21133311032128.

The previous prime is 21133311032101. The next prime is 21133311032149. The reversal of 21133311032129 is 92123011333112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12706743881104 + 8426567151025 = 3564652^2 + 2902855^2 .

It is a cyclic number.

It is not a de Polignac number, because 21133311032129 - 2²⁴ = 21133294254913 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 21133311032095 and 21133311032104.

It is not a weakly prime, because it can be changed into another prime (21133311032149) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10566655516064 + 10566655516065.

It is an arithmetic number, because the mean of its divisors is an integer number (10566655516065).

Almost surely, 2^{21133311032129} is an apocalyptic number.

It is an amenable number.

21133311032129 is a deficient number, since it is larger than the sum of its proper divisors (1).

21133311032129 is an equidigital number, since it uses as much as digits as its factorization.

21133311032129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5832, while the sum is 32.

The spelling of 21133311032129 in words is "twenty-one trillion, one hundred thirty-three billion, three hundred eleven million, thirty-two thousand, one hundred twenty-nine".