2121211311331 has 16 divisors (see below), whose sum is σ = 2434063177728. Its totient is φ = 1810815840000.

The previous prime is 2121211311313. The next prime is 2121211311341. The reversal of 2121211311331 is 1331131121212.

It is a cyclic number.

It is not a de Polignac number, because 2121211311331 - 2³⁵ = 2086851572963 is a prime.

It is a super-2 number, since 2×2121211311331² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2121211311311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34548846 + ... + 34610188.

It is an arithmetic number, because the mean of its divisors is an integer number (152128948608).

Almost surely, 2^{2121211311331} is an apocalyptic number.

2121211311331 is a deficient number, since it is larger than the sum of its proper divisors (312851866397).

2121211311331 is a wasteful number, since it uses less digits than its factorization.

2121211311331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81282.

The product of its digits is 216, while the sum is 22.

Adding to 2121211311331 its reverse (1331131121212), we get a palindrome (3452342432543).

The spelling of 2121211311331 in words is "two trillion, one hundred twenty-one billion, two hundred eleven million, three hundred eleven thousand, three hundred thirty-one".