100013101132 has 192 divisors, whose sum is σ = 228954055680. Its totient is φ = 37198946304.

The previous prime is 100013101129. The next prime is 100013101147. The reversal of 100013101132 is 231101310001.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 65667723 + ... + 65669245.

It is an arithmetic number, because the mean of its divisors is an integer number (1192469040).

Almost surely, 2^100013101132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100013101132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114477027840).

100013101132 is an abundant number, since it is smaller than the sum of its proper divisors (128940954548).

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

100013101132 is a wasteful number, since it uses less digits than its factorization.

100013101132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1760 (or 1758 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 100013101132 its reverse (231101310001), we get a palindrome (331114411133).

The spelling of 100013101132 in words is "one hundred billion, thirteen million, one hundred one thousand, one hundred thirty-two".