13311332312100 has 144 divisors (see below), whose sum is σ = 39174710366400. Its totient is φ = 3488828843520.

The previous prime is 13311332312087. The next prime is 13311332312233. The reversal of 13311332312100 is 121323311331.

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, 91914546 + ... + 92059254.

Almost surely, 2^{13311332312100} is an apocalyptic number.

13311332312100 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 13311332312100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19587355183200).

13311332312100 is an abundant number, since it is smaller than the sum of its proper divisors (25863378054300).

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

13311332312100 is a wasteful number, since it uses less digits than its factorization.

13311332312100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149982 (or 149975 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 13311332312100 its reverse (121323311331), we get a palindrome (13432655623431).

The spelling of 13311332312100 in words is "thirteen trillion, three hundred eleven billion, three hundred thirty-two million, three hundred twelve thousand, one hundred".