13313101231100 has 144 divisors (see below), whose sum is σ = 31865677028640. Its totient is φ = 4787452723200.

The previous prime is 13313101231097. The next prime is 13313101231117. The reversal of 13313101231100 is 113210131331.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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, 137487902 + ... + 137584698.

It is an arithmetic number, because the mean of its divisors is an integer number (221289423810).

Almost surely, 2^{13313101231100} is an apocalyptic number.

13313101231100 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 13313101231100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15932838514320).

13313101231100 is an abundant number, since it is smaller than the sum of its proper divisors (18552575797540).

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

13313101231100 is a wasteful number, since it uses less digits than its factorization.

13313101231100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98208 (or 98201 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 20.

Adding to 13313101231100 its reverse (113210131331), we get a palindrome (13426311362431).

The spelling of 13313101231100 in words is "thirteen trillion, three hundred thirteen billion, one hundred one million, two hundred thirty-one thousand, one hundred".