213121121311 has 32 divisors (see below), whose sum is σ = 256840908800. Its totient is φ = 176585572800.

The previous prime is 213121121309. The next prime is 213121121341. The reversal of 213121121311 is 113121121312.

213121121311 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 213121121311 - 2¹ = 213121121309 is a prime.

It is a super-2 number, since 2×213121121311² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213121121341) 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 31 ways as a sum of consecutive naturals, for example, 9952426 + ... + 9973816.

It is an arithmetic number, because the mean of its divisors is an integer number (8026278400).

Almost surely, 2^213121121311 is an apocalyptic number.

213121121311 is a deficient number, since it is larger than the sum of its proper divisors (43719787489).

213121121311 is an equidigital number, since it uses as much as digits as its factorization.

213121121311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22380 (or 22366 counting only the distinct ones).

The product of its digits is 72, while the sum is 19.

Adding to 213121121311 its reverse (113121121312), we get a palindrome (326242242623).

Subtracting from 213121121311 its reverse (113121121312), we obtain a palindrome (99999999999).

The spelling of 213121121311 in words is "two hundred thirteen billion, one hundred twenty-one million, one hundred twenty-one thousand, three hundred eleven".