211431413020 has 48 divisors (see below), whose sum is σ = 459579859200. Its totient is φ = 81609454080.

The previous prime is 211431413009. The next prime is 211431413021. The reversal of 211431413020 is 20314134112.

211431413020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 211431412982 and 211431413000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211431413021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 916600 + ... + 1123840.

It is an arithmetic number, because the mean of its divisors is an integer number (9574580400).

Almost surely, 2^211431413020 is an apocalyptic number.

211431413020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211431413020 is an abundant number, since it is smaller than the sum of its proper divisors (248148446180).

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

211431413020 is a wasteful number, since it uses less digits than its factorization.

211431413020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209038 (or 209036 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 211431413020 its reverse (20314134112), we get a palindrome (231745547132).

The spelling of 211431413020 in words is "two hundred eleven billion, four hundred thirty-one million, four hundred thirteen thousand, twenty".