213131322203121 has 48 divisors (see below), whose sum is σ = 352048626708480. Its totient is φ = 121715675422560.

The previous prime is 213131322203099. The next prime is 213131322203249. The reversal of 213131322203121 is 121302223131312.

213131322203121 is a `hidden beast` number, since 2 + 1 + 3 + 1 + 3 + 1 + 322 + 20 + 312 + 1 = 666.

It is not a de Polignac number, because 213131322203121 - 2⁶ = 213131322203057 is a prime.

It is not an unprimeable number, because it can be changed into a prime (213131322203321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2611510606 + ... + 2611592216.

It is an arithmetic number, because the mean of its divisors is an integer number (7334346389760).

Almost surely, 2^{213131322203121} is an apocalyptic number.

213131322203121 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

213131322203121 is a deficient number, since it is larger than the sum of its proper divisors (138917304505359).

213131322203121 is a wasteful number, since it uses less digits than its factorization.

213131322203121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106186 (or 106183 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 213131322203121 its reverse (121302223131312), we get a palindrome (334433545334433).

The spelling of 213131322203121 in words is "two hundred thirteen trillion, one hundred thirty-one billion, three hundred twenty-two million, two hundred three thousand, one hundred twenty-one".