21133233233129 has 2 divisors, whose sum is σ = 21133233233130. Its totient is φ = 21133233233128.

The previous prime is 21133233233071. The next prime is 21133233233141. The reversal of 21133233233129 is 92133233233112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 13754811727504 + 7378421505625 = 3708748^2 + 2716325^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-21133233233129 is a prime.

It is a super-2 number, since 2×21133233233129² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21133233233092 and 21133233233101.

It is not a weakly prime, because it can be changed into another prime (21133233233179) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10566616616564 + 10566616616565.

It is an arithmetic number, because the mean of its divisors is an integer number (10566616616565).

Almost surely, 2^{21133233233129} is an apocalyptic number.

It is an amenable number.

21133233233129 is a deficient number, since it is larger than the sum of its proper divisors (1).

21133233233129 is an equidigital number, since it uses as much as digits as its factorization.

21133233233129 is an evil number, because the sum of its binary digits is even.

The product of its digits is 104976, while the sum is 38.

The spelling of 21133233233129 in words is "twenty-one trillion, one hundred thirty-three billion, two hundred thirty-three million, two hundred thirty-three thousand, one hundred twenty-nine".