23130303144100 has 288 divisors, whose sum is σ = 55181444161536. Its totient is φ = 8377688524800.

The previous prime is 23130303144059. The next prime is 23130303144121. The reversal of 23130303144100 is 144130303132.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8135877279 + ... + 8135880121.

It is an arithmetic number, because the mean of its divisors is an integer number (191602236672).

Almost surely, 2^{23130303144100} is an apocalyptic number.

23130303144100 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 23130303144100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27590722080768).

23130303144100 is an abundant number, since it is smaller than the sum of its proper divisors (32051141017436).

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

23130303144100 is a wasteful number, since it uses less digits than its factorization.

23130303144100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3755 (or 3748 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 23130303144100 its reverse (144130303132), we get a palindrome (23274433447232).

The spelling of 23130303144100 in words is "twenty-three trillion, one hundred thirty billion, three hundred three million, one hundred forty-four thousand, one hundred".