211231131102000 has 1120 divisors, whose sum is σ = 772615670860800. Its totient is φ = 55827636480000.

The previous prime is 211231131101941. The next prime is 211231131102007. The reversal of 211231131102000 is 201131132112.

211231131102000 is a `hidden beast` number, since 2 + 112 + 311 + 31 + 10 + 200 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (211231131102007) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 143596961265 + ... + 143596962735.

Almost surely, 2^{211231131102000} is an apocalyptic number.

211231131102000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211231131102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386307835430400).

211231131102000 is an abundant number, since it is smaller than the sum of its proper divisors (561384539758800).

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

211231131102000 is a wasteful number, since it uses less digits than its factorization.

211231131102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2322 (or 2291 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 211231131102000 its reverse (201131132112), we get a palindrome (211432262234112).

The spelling of 211231131102000 in words is "two hundred eleven trillion, two hundred thirty-one billion, one hundred thirty-one million, one hundred two thousand".