100113303003132 has 96 divisors (see below), whose sum is σ = 245437340424192. Its totient is φ = 31700062950336.

The previous prime is 100113303003127. The next prime is 100113303003193. The reversal of 100113303003132 is 231300303311001.

It is a junction number, because it is equal to n+sod(n) for n = 100113303003099 and 100113303003108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57948003 + ... + 59650629.

It is an arithmetic number, because the mean of its divisors is an integer number (2556638962752).

Almost surely, 2^{100113303003132} is an apocalyptic number.

100113303003132 is a gapful number since it is divisible by the number (12) 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 100113303003132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122718670212096).

100113303003132 is an abundant number, since it is smaller than the sum of its proper divisors (145324037421060).

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

100113303003132 is a wasteful number, since it uses less digits than its factorization.

100113303003132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1704127 (or 1704125 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 100113303003132 its reverse (231300303311001), we get a palindrome (331413606314133).

The spelling of 100113303003132 in words is "one hundred trillion, one hundred thirteen billion, three hundred three million, three thousand, one hundred thirty-two".