230013323100 has 864 divisors, whose sum is σ = 852095462400. Its totient is φ = 51354777600.

The previous prime is 230013323083. The next prime is 230013323101. The reversal of 230013323100 is 1323310032.

230013323100 is a `hidden beast` number, since 2 + 300 + 1 + 332 + 31 + 0 + 0 = 666.

It is a super-2 number, since 2×230013323100² (a number of 24 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 not an unprimeable number, because it can be changed into a prime (230013323101) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 626739117 + ... + 626739483.

It is an arithmetic number, because the mean of its divisors is an integer number (986221600).

Almost surely, 2^230013323100 is an apocalyptic number.

230013323100 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 230013323100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426047731200).

230013323100 is an abundant number, since it is smaller than the sum of its proper divisors (622082139300).

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

230013323100 is a wasteful number, since it uses less digits than its factorization.

230013323100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 230013323100 its reverse (1323310032), we get a palindrome (231336633132).

The spelling of 230013323100 in words is "two hundred thirty billion, thirteen million, three hundred twenty-three thousand, one hundred".