230133332100 has 288 divisors, whose sum is σ = 781765963776. Its totient is φ = 51172070400.

The previous prime is 230133332047. The next prime is 230133332131. The reversal of 230133332100 is 1233331032.

It is a super-2 number, since 2×230133332100² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

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 95 ways as a sum of consecutive naturals, for example, 31595059 + ... + 31602341.

It is an arithmetic number, because the mean of its divisors is an integer number (2714465152).

Almost surely, 2^230133332100 is an apocalyptic number.

230133332100 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 230133332100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390882981888).

230133332100 is an abundant number, since it is smaller than the sum of its proper divisors (551632631676).

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

230133332100 is a wasteful number, since it uses less digits than its factorization.

230133332100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7715 (or 7708 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 230133332100 its reverse (1233331032), we get a palindrome (231366663132).

The spelling of 230133332100 in words is "two hundred thirty billion, one hundred thirty-three million, three hundred thirty-two thousand, one hundred".