211313010932320 has 384 divisors, whose sum is σ = 555791652864000. Its totient is φ = 75273170165760.

The previous prime is 211313010932311. The next prime is 211313010932323. The reversal of 211313010932320 is 23239010313112.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211313010932323) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 67968158926 + ... + 67968162034.

It is an arithmetic number, because the mean of its divisors is an integer number (1447374096000).

Almost surely, 2^{211313010932320} is an apocalyptic number.

211313010932320 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 211313010932320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277895826432000).

211313010932320 is an abundant number, since it is smaller than the sum of its proper divisors (344478641931680).

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

211313010932320 is a wasteful number, since it uses less digits than its factorization.

211313010932320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5286 (or 5278 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 31.

The spelling of 211313010932320 in words is "two hundred eleven trillion, three hundred thirteen billion, ten million, nine hundred thirty-two thousand, three hundred twenty".