230133003012100 has 108 divisors (see below), whose sum is σ = 530510841343980. Its totient is φ = 86635296204800.

The previous prime is 230133003012091. The next prime is 230133003012139. The reversal of 230133003012100 is 1210300331032.

It can be written as a sum of positive squares in 18 ways, for example, as 42955361673156 + 187177641338944 = 6554034^2 + 13681288^2 .

It is a super-2 number, since 2×230133003012100² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 942624846 + ... + 942868954.

Almost surely, 2^{230133003012100} is an apocalyptic number.

230133003012100 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 230133003012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265255420671990).

230133003012100 is an abundant number, since it is smaller than the sum of its proper divisors (300377838331880).

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

230133003012100 is a wasteful number, since it uses less digits than its factorization.

230133003012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276778 (or 276754 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 230133003012100 its reverse (1210300331032), we get a palindrome (231343303343132).

The spelling of 230133003012100 in words is "two hundred thirty trillion, one hundred thirty-three billion, three million, twelve thousand, one hundred".