211131311123100 has 72 divisors (see below), whose sum is σ = 610883265617968. Its totient is φ = 56300760806400.

The previous prime is 211131311123041. The next prime is 211131311123107. The reversal of 211131311123100 is 1321113131112.

It is a super-2 number, since 2×211131311123100² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211131311123107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12681492 + ... + 24147108.

Almost surely, 2^{211131311123100} is an apocalyptic number.

211131311123100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211131311123100 is an abundant number, since it is smaller than the sum of its proper divisors (399751954494868).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

211131311123100 is a wasteful number, since it uses less digits than its factorization.

211131311123100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11527015 (or 11527008 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 21.

Adding to 211131311123100 its reverse (1321113131112), we get a palindrome (212452424254212).

The spelling of 211131311123100 in words is "two hundred eleven trillion, one hundred thirty-one billion, three hundred eleven million, one hundred twenty-three thousand, one hundred".