230013301100 has 72 divisors (see below), whose sum is σ = 546065310000. Its totient is φ = 83401401600.

The previous prime is 230013301073. The next prime is 230013301127. The reversal of 230013301100 is 1103310032.

It is an interprime number because it is at equal distance from previous prime (230013301073) and next prime (230013301127).

It is a super-3 number, since 3×230013301100³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 84326 + ... + 683474.

Almost surely, 2^230013301100 is an apocalyptic number.

230013301100 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 230013301100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273032655000).

230013301100 is an abundant number, since it is smaller than the sum of its proper divisors (316052008900).

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

230013301100 is a wasteful number, since it uses less digits than its factorization.

230013301100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 599523 (or 599516 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 230013301100 its reverse (1103310032), we get a palindrome (231116611132).

The spelling of 230013301100 in words is "two hundred thirty billion, thirteen million, three hundred one thousand, one hundred".