211413134130320 has 80 divisors (see below), whose sum is σ = 494519484977280. Its totient is φ = 84051969441792.

The previous prime is 211413134130307. The next prime is 211413134130343. The reversal of 211413134130320 is 23031431314112.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 163537199 + ... + 164824881.

It is an arithmetic number, because the mean of its divisors is an integer number (6181493562216).

Almost surely, 2^{211413134130320} is an apocalyptic number.

211413134130320 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 211413134130320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247259742488640).

211413134130320 is an abundant number, since it is smaller than the sum of its proper divisors (283106350846960).

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

211413134130320 is a wasteful number, since it uses less digits than its factorization.

211413134130320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1300152 (or 1300146 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

Adding to 211413134130320 its reverse (23031431314112), we get a palindrome (234444565444432).

The spelling of 211413134130320 in words is "two hundred eleven trillion, four hundred thirteen billion, one hundred thirty-four million, one hundred thirty thousand, three hundred twenty".