13132320323100 has 288 divisors, whose sum is σ = 42578896776192. Its totient is φ = 3096950400000.

The previous prime is 13132320323029. The next prime is 13132320323123. The reversal of 13132320323100 is 132302323131.

It is a super-2 number, since 2×13132320323100² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1166171470 + ... + 1166182730.

It is an arithmetic number, because the mean of its divisors is an integer number (147843391584).

Almost surely, 2^{13132320323100} is an apocalyptic number.

13132320323100 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 13132320323100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21289448388096).

13132320323100 is an abundant number, since it is smaller than the sum of its proper divisors (29446576453092).

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

13132320323100 is a wasteful number, since it uses less digits than its factorization.

13132320323100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20877 (or 20870 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 13132320323100 its reverse (132302323131), we get a palindrome (13264622646231).

The spelling of 13132320323100 in words is "thirteen trillion, one hundred thirty-two billion, three hundred twenty million, three hundred twenty-three thousand, one hundred".