13320311313100 has 288 divisors, whose sum is σ = 34182891654912. Its totient is φ = 4450360320000.

The previous prime is 13320311313061. The next prime is 13320311313131. The reversal of 13320311313100 is 131311302331.

It is a super-2 number, since 2×13320311313100² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2027132815 + ... + 2027139385.

It is an arithmetic number, because the mean of its divisors is an integer number (118690596024).

Almost surely, 2^{13320311313100} is an apocalyptic number.

13320311313100 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 13320311313100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17091445827456).

13320311313100 is an abundant number, since it is smaller than the sum of its proper divisors (20862580341812).

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

13320311313100 is a wasteful number, since it uses less digits than its factorization.

13320311313100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9177 (or 9170 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 22.

Adding to 13320311313100 its reverse (131311302331), we get a palindrome (13451622615431).

The spelling of 13320311313100 in words is "thirteen trillion, three hundred twenty billion, three hundred eleven million, three hundred thirteen thousand, one hundred".