101543130304 has 336 divisors, whose sum is σ = 269693867520. Its totient is φ = 37002240000.

The previous prime is 101543130229. The next prime is 101543130317. The reversal of 101543130304 is 403031345101.

It is a super-2 number, since 2×101543130304² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 231305317 + ... + 231305755.

It is an arithmetic number, because the mean of its divisors is an integer number (802660320).

Almost surely, 2^101543130304 is an apocalyptic number.

101543130304 is a gapful number since it is divisible by the number (14) 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 101543130304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134846933760).

101543130304 is an abundant number, since it is smaller than the sum of its proper divisors (168150737216).

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

101543130304 is a wasteful number, since it uses less digits than its factorization.

101543130304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 748 (or 727 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

Adding to 101543130304 its reverse (403031345101), we get a palindrome (504574475405).

The spelling of 101543130304 in words is "one hundred one billion, five hundred forty-three million, one hundred thirty thousand, three hundred four".