230213103120000 has 7680 divisors, whose sum is σ = 1166234855385600. Its totient is φ = 42042654720000.

The previous prime is 230213103119941. The next prime is 230213103120113. The reversal of 230213103120000 is 21301312032.

230213103120000 is a `hidden beast` number, since 2 + 302 + 1 + 310 + 31 + 20 + 0 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 2373330959952 + ... + 2373330960048.

It is an arithmetic number, because the mean of its divisors is an integer number (151853496795).

Almost surely, 2^{230213103120000} is an apocalyptic number.

230213103120000 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 230213103120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583117427692800).

230213103120000 is an abundant number, since it is smaller than the sum of its proper divisors (936021752265600).

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

230213103120000 is a wasteful number, since it uses less digits than its factorization.

230213103120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 230213103120000 its reverse (21301312032), we get a palindrome (230234404432032).

The spelling of 230213103120000 in words is "two hundred thirty trillion, two hundred thirteen billion, one hundred three million, one hundred twenty thousand".