2105132315009 has 2 divisors, whose sum is σ = 2105132315010. Its totient is φ = 2105132315008.

The previous prime is 2105132314997. The next prime is 2105132315063. The reversal of 2105132315009 is 9005132315012.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2104957017409 + 175297600 = 1450847^2 + 13240^2 .

It is a cyclic number.

It is not a de Polignac number, because 2105132315009 - 2²⁴ = 2105115537793 is a prime.

It is not a weakly prime, because it can be changed into another prime (2105132315309) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1052566157504 + 1052566157505.

It is an arithmetic number, because the mean of its divisors is an integer number (1052566157505).

Almost surely, 2^{2105132315009} is an apocalyptic number.

It is an amenable number.

2105132315009 is a deficient number, since it is larger than the sum of its proper divisors (1).

2105132315009 is an equidigital number, since it uses as much as digits as its factorization.

2105132315009 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8100, while the sum is 32.

The spelling of 2105132315009 in words is "two trillion, one hundred five billion, one hundred thirty-two million, three hundred fifteen thousand, nine".