213001322121 has 96 divisors (see below), whose sum is σ = 367047622656. Its totient is φ = 116470224000.

The previous prime is 213001322111. The next prime is 213001322123. The reversal of 213001322121 is 121223100312.

213001322121 is a `hidden beast` number, since 21 + 300 + 1 + 322 + 1 + 21 = 666.

It is not a de Polignac number, because 213001322121 - 2⁵ = 213001322089 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 213001322094 and 213001322103.

It is not an unprimeable number, because it can be changed into a prime (213001322123) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 79565835 + ... + 79568511.

It is an arithmetic number, because the mean of its divisors is an integer number (3823412736).

Almost surely, 2^213001322121 is an apocalyptic number.

213001322121 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

213001322121 is a deficient number, since it is larger than the sum of its proper divisors (154046300535).

213001322121 is a wasteful number, since it uses less digits than its factorization.

213001322121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3163 (or 3160 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 213001322121 its reverse (121223100312), we get a palindrome (334224422433).

The spelling of 213001322121 in words is "two hundred thirteen billion, one million, three hundred twenty-two thousand, one hundred twenty-one".