11431024100 has 72 divisors (see below), whose sum is σ = 25651358208. Its totient is φ = 4419043200.

The previous prime is 11431024061. The next prime is 11431024141. The reversal of 11431024100 is 142013411.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 339005 + ... + 371195.

It is an arithmetic number, because the mean of its divisors is an integer number (356268864).

Almost surely, 2^11431024100 is an apocalyptic number.

11431024100 is a gapful number since it is divisible by the number (10) 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 11431024100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12825679104).

11431024100 is an abundant number, since it is smaller than the sum of its proper divisors (14220334108).

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

11431024100 is a wasteful number, since it uses less digits than its factorization.

11431024100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32325 (or 32318 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 11431024100 its reverse (142013411), we get a palindrome (11573037511).

The spelling of 11431024100 in words is "eleven billion, four hundred thirty-one million, twenty-four thousand, one hundred".