2105415415133 has 2 divisors, whose sum is σ = 2105415415134. Its totient is φ = 2105415415132.

The previous prime is 2105415415123. The next prime is 2105415415139. The reversal of 2105415415133 is 3315145145012.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2098711408249 + 6704006884 = 1448693^2 + 81878^2 .

It is a cyclic number.

It is not a de Polignac number, because 2105415415133 - 2⁶ = 2105415415069 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 = 2105415415093 and 2105415415102.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2105415415139) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1052707707566 + 1052707707567.

It is an arithmetic number, because the mean of its divisors is an integer number (1052707707567).

Almost surely, 2^{2105415415133} is an apocalyptic number.

It is an amenable number.

2105415415133 is a deficient number, since it is larger than the sum of its proper divisors (1).

2105415415133 is an equidigital number, since it uses as much as digits as its factorization.

2105415415133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36000, while the sum is 35.

The spelling of 2105415415133 in words is "two trillion, one hundred five billion, four hundred fifteen million, four hundred fifteen thousand, one hundred thirty-three".