2121011131311 has 48 divisors (see below), whose sum is σ = 3113023680000. Its totient is φ = 1391420160000.

The previous prime is 2121011131307. The next prime is 2121011131357. The reversal of 2121011131311 is 1131311101212.

2121011131311 is a `hidden beast` number, since 2 + 1 + 210 + 11 + 131 + 311 = 666.

It is not a de Polignac number, because 2121011131311 - 2² = 2121011131307 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2121011131391) 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, 216845241 + ... + 216855021.

It is an arithmetic number, because the mean of its divisors is an integer number (64854660000).

Almost surely, 2^{2121011131311} is an apocalyptic number.

2121011131311 is a deficient number, since it is larger than the sum of its proper divisors (992012548689).

2121011131311 is a wasteful number, since it uses less digits than its factorization.

2121011131311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11328 (or 11325 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 2121011131311 its reverse (1131311101212), we get a palindrome (3252322232523).

The spelling of 2121011131311 in words is "two trillion, one hundred twenty-one billion, eleven million, one hundred thirty-one thousand, three hundred eleven".