13132330311100 has 288 divisors, whose sum is σ = 40512623026176. Its totient is φ = 3556077465600.

The previous prime is 13132330311077. The next prime is 13132330311103. The reversal of 13132330311100 is 111303323131.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13132330311103) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2156892 + ... + 5560291.

It is an arithmetic number, because the mean of its divisors is an integer number (140668829952).

Almost surely, 2^{13132330311100} is an apocalyptic number.

13132330311100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13132330311100 is an abundant number, since it is smaller than the sum of its proper divisors (27380292715076).

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

13132330311100 is a wasteful number, since it uses less digits than its factorization.

13132330311100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7717245 (or 7717238 counting only the distinct ones).

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

Adding to 13132330311100 its reverse (111303323131), we get a palindrome (13243633634231).

The spelling of 13132330311100 in words is "thirteen trillion, one hundred thirty-two billion, three hundred thirty million, three hundred eleven thousand, one hundred".