2100413334009 has 32 divisors (see below), whose sum is σ = 3070961766400. Its totient is φ = 1272006089280.

The previous prime is 2100413333989. The next prime is 2100413334017. The reversal of 2100413334009 is 9004333140012.

It is not a de Polignac number, because 2100413334009 - 2⁷ = 2100413333881 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2100413334209) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5260099 + ... + 5645304.

It is an arithmetic number, because the mean of its divisors is an integer number (95967555200).

Almost surely, 2^{2100413334009} is an apocalyptic number.

It is an amenable number.

2100413334009 is a deficient number, since it is larger than the sum of its proper divisors (970548432391).

2100413334009 is a wasteful number, since it uses less digits than its factorization.

2100413334009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10905565.

The product of its (nonzero) digits is 7776, while the sum is 30.

The spelling of 2100413334009 in words is "two trillion, one hundred billion, four hundred thirteen million, three hundred thirty-four thousand, nine".