213111323132320 has 192 divisors, whose sum is σ = 525631665484800. Its totient is φ = 81558208512000.

The previous prime is 213111323132261. The next prime is 213111323132333. The reversal of 213111323132320 is 23231323111312.

It is a super-3 number, since 3×213111323132320³ (a number of 44 digits) contains 333 as substring.

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, 341844256 + ... + 342467104.

It is an arithmetic number, because the mean of its divisors is an integer number (2737664924400).

Almost surely, 2^{213111323132320} is an apocalyptic number.

213111323132320 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 213111323132320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262815832742400).

213111323132320 is an abundant number, since it is smaller than the sum of its proper divisors (312520342352480).

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

213111323132320 is a wasteful number, since it uses less digits than its factorization.

213111323132320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 623679 (or 623671 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 28.

Adding to 213111323132320 its reverse (23231323111312), we get a palindrome (236342646243632).

The spelling of 213111323132320 in words is "two hundred thirteen trillion, one hundred eleven billion, three hundred twenty-three million, one hundred thirty-two thousand, three hundred twenty".