213331332023100 has 288 divisors, whose sum is σ = 704450402288640. Its totient is φ = 55343446836480.

The previous prime is 213331332023021. The next prime is 213331332023153. The reversal of 213331332023100 is 1320233133312.

213331332023100 is a `hidden beast` number, since 2 + 1 + 3 + 3 + 313 + 32 + 0 + 2 + 310 + 0 = 666.

It is a super-2 number, since 2×213331332023100² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 769391089 + ... + 769668311.

It is an arithmetic number, because the mean of its divisors is an integer number (2446008341280).

Almost surely, 2^{213331332023100} is an apocalyptic number.

213331332023100 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 213331332023100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352225201144320).

213331332023100 is an abundant number, since it is smaller than the sum of its proper divisors (491119070265540).

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

213331332023100 is a wasteful number, since it uses less digits than its factorization.

213331332023100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284986 (or 284973 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 213331332023100 its reverse (1320233133312), we get a palindrome (214651565156412).

The spelling of 213331332023100 in words is "two hundred thirteen trillion, three hundred thirty-one billion, three hundred thirty-two million, twenty-three thousand, one hundred".