13311101022100 has 360 divisors, whose sum is σ = 35207717061888. Its totient is φ = 4359752812800.

The previous prime is 13311101022097. The next prime is 13311101022139. The reversal of 13311101022100 is 122010111331.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 8211659290 + ... + 8211660910.

Almost surely, 2^{13311101022100} is an apocalyptic number.

13311101022100 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 13311101022100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17603858530944).

13311101022100 is an abundant number, since it is smaller than the sum of its proper divisors (21896616039788).

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

13311101022100 is a wasteful number, since it uses less digits than its factorization.

13311101022100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3173 (or 3145 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 13311101022100 its reverse (122010111331), we get a palindrome (13433111133431).

The spelling of 13311101022100 in words is "thirteen trillion, three hundred eleven billion, one hundred one million, twenty-two thousand, one hundred".