213111314001 has 12 divisors (see below), whose sum is σ = 307840971828. Its totient is φ = 142067970144.

The previous prime is 213111313979. The next prime is 213111314021. The reversal of 213111314001 is 100413111312.

It is a happy number.

213111314001 is a `hidden beast` number, since 2 + 131 + 1 + 131 + 400 + 1 = 666.

213111314001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 22141440000 + 190969874001 = 148800^2 + 437001^2 .

It is not a de Polignac number, because 213111314001 - 2¹⁹ = 213110789713 is a prime.

It is not an unprimeable number, because it can be changed into a prime (213111314021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 298650 + ... + 717923.

It is an arithmetic number, because the mean of its divisors is an integer number (25653414319).

Almost surely, 2^213111314001 is an apocalyptic number.

It is an amenable number.

213111314001 is a deficient number, since it is larger than the sum of its proper divisors (94729657827).

213111314001 is a wasteful number, since it uses less digits than its factorization.

213111314001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1039872 (or 1039869 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 213111314001 its reverse (100413111312), we get a palindrome (313524425313).

The spelling of 213111314001 in words is "two hundred thirteen billion, one hundred eleven million, three hundred fourteen thousand, one".