211410341331020 has 96 divisors (see below), whose sum is σ = 478959098200128. Its totient is φ = 77921019988992.

The previous prime is 211410341331019. The next prime is 211410341331041. The reversal of 211410341331020 is 20133143014112.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2868761294 + ... + 2868834986.

It is an arithmetic number, because the mean of its divisors is an integer number (4989157272918).

Almost surely, 2^{211410341331020} is an apocalyptic number.

211410341331020 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 211410341331020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239479549100064).

211410341331020 is an abundant number, since it is smaller than the sum of its proper divisors (267548756869108).

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

211410341331020 is a wasteful number, since it uses less digits than its factorization.

211410341331020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93099 (or 93097 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

Adding to 211410341331020 its reverse (20133143014112), we get a palindrome (231543484345132).

The spelling of 211410341331020 in words is "two hundred eleven trillion, four hundred ten billion, three hundred forty-one million, three hundred thirty-one thousand, twenty".