230000213100000 has 1728 divisors, whose sum is σ = 936932480483328. Its totient is φ = 49082664960000.

The previous prime is 230000213099953. The next prime is 230000213100013. The reversal of 230000213100000 is 1312000032.

It is a happy number.

It is a super-2 number, since 2×230000213100000² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 31737296377 + ... + 31737303623.

It is an arithmetic number, because the mean of its divisors is an integer number (542206296576).

Almost surely, 2^{230000213100000} is an apocalyptic number.

230000213100000 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 230000213100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468466240241664).

230000213100000 is an abundant number, since it is smaller than the sum of its proper divisors (706932267383328).

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

230000213100000 is a wasteful number, since it uses less digits than its factorization.

230000213100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7443 (or 7408 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 230000213100000 its reverse (1312000032), we get a palindrome (230001525100032).

The spelling of 230000213100000 in words is "two hundred thirty trillion, two hundred thirteen million, one hundred thousand".