2111211333231 has 256 divisors, whose sum is σ = 4060081815552. Its totient is φ = 939937996800.

The previous prime is 2111211333199. The next prime is 2111211333299. The reversal of 2111211333231 is 1323331121112.

It is not a de Polignac number, because 2111211333231 - 2⁵ = 2111211333199 is a prime.

It is a super-3 number, since 3×2111211333231³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2111211333331) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1551219991 + ... + 1551221351.

It is an arithmetic number, because the mean of its divisors is an integer number (15859694592).

Almost surely, 2^{2111211333231} is an apocalyptic number.

2111211333231 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2111211333231 is a deficient number, since it is larger than the sum of its proper divisors (1948870482321).

2111211333231 is a wasteful number, since it uses less digits than its factorization.

2111211333231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2062.

The product of its digits is 648, while the sum is 24.

Adding to 2111211333231 its reverse (1323331121112), we get a palindrome (3434542454343).

It can be divided in two parts, 2111211 and 333231, that added together give a palindrome (2444442).

The spelling of 2111211333231 in words is "two trillion, one hundred eleven billion, two hundred eleven million, three hundred thirty-three thousand, two hundred thirty-one".