211131414032 has 120 divisors (see below), whose sum is σ = 519373490112. Its totient is φ = 82217721600.

The previous prime is 211131413993. The next prime is 211131414061. The reversal of 211131414032 is 230414131112.

It is a junction number, because it is equal to n+sod(n) for n = 211131413989 and 211131414007.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21580982 + ... + 21590762.

Almost surely, 2^211131414032 is an apocalyptic number.

211131414032 is a gapful number since it is divisible by the number (22) 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 211131414032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259686745056).

211131414032 is an abundant number, since it is smaller than the sum of its proper divisors (308242076080).

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

211131414032 is a wasteful number, since it uses less digits than its factorization.

211131414032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12317 (or 12304 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

Adding to 211131414032 its reverse (230414131112), we get a palindrome (441545545144).

The spelling of 211131414032 in words is "two hundred eleven billion, one hundred thirty-one million, four hundred fourteen thousand, thirty-two".