213045780801 has 64 divisors (see below), whose sum is σ = 346553303040. Its totient is φ = 113642403840.

The previous prime is 213045780797. The next prime is 213045780977. The reversal of 213045780801 is 108087540312.

It is not a de Polignac number, because 213045780801 - 2² = 213045780797 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 213045780801.

It is not an unprimeable number, because it can be changed into a prime (213045780601) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 82224016 + ... + 82226606.

It is an arithmetic number, because the mean of its divisors is an integer number (5414895360).

Almost surely, 2^213045780801 is an apocalyptic number.

213045780801 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

213045780801 is a deficient number, since it is larger than the sum of its proper divisors (133507522239).

213045780801 is a wasteful number, since it uses less digits than its factorization.

213045780801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4414.

The product of its (nonzero) digits is 53760, while the sum is 39.

The spelling of 213045780801 in words is "two hundred thirteen billion, forty-five million, seven hundred eighty thousand, eight hundred one".