213300110331000 has 1536 divisors, whose sum is σ = 903642841221120. Its totient is φ = 44086560768000.

The previous prime is 213300110330999. The next prime is 213300110331233. The reversal of 213300110331000 is 133011003312.

It is a happy number.

213300110331000 is a `hidden beast` number, since 2 + 1 + 330 + 0 + 1 + 1 + 0 + 331 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×213300110331000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 164456522352 + ... + 164456523648.

It is an arithmetic number, because the mean of its divisors is an integer number (588309141420).

Almost surely, 2^{213300110331000} is an apocalyptic number.

213300110331000 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 213300110331000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451821420610560).

213300110331000 is an abundant number, since it is smaller than the sum of its proper divisors (690342730890120).

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

213300110331000 is a wasteful number, since it uses less digits than its factorization.

213300110331000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2422 (or 2405 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 213300110331000 its reverse (133011003312), we get a palindrome (213433121334312).

The spelling of 213300110331000 in words is "two hundred thirteen trillion, three hundred billion, one hundred ten million, three hundred thirty-one thousand".