213121434201 has 48 divisors (see below), whose sum is σ = 333010140288. Its totient is φ = 120425932800.

The previous prime is 213121434193. The next prime is 213121434203. The reversal of 213121434201 is 102434121312.

It is not a de Polignac number, because 213121434201 - 2³ = 213121434193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (213121434203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 231516 + ... + 692706.

It is an arithmetic number, because the mean of its divisors is an integer number (6937711256).

Almost surely, 2^213121434201 is an apocalyptic number.

It is an amenable number.

213121434201 is a deficient number, since it is larger than the sum of its proper divisors (119888706087).

213121434201 is a wasteful number, since it uses less digits than its factorization.

213121434201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461282 (or 461265 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 213121434201 its reverse (102434121312), we get a palindrome (315555555513).

The spelling of 213121434201 in words is "two hundred thirteen billion, one hundred twenty-one million, four hundred thirty-four thousand, two hundred one".