13123311432100 has 36 divisors (see below), whose sum is σ = 28477886337684. Its totient is φ = 5249269175680.

The previous prime is 13123311432029. The next prime is 13123311432149. The reversal of 13123311432100 is 123411332131.

13123311432100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 1188483710976 + 11934827721124 = 1090176^2 + 3454682^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9590394 + ... + 10873006.

It is an arithmetic number, because the mean of its divisors is an integer number (791052398269).

Almost surely, 2^{13123311432100} is an apocalyptic number.

13123311432100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13123311432100 is an abundant number, since it is smaller than the sum of its proper divisors (15354574905584).

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

13123311432100 is a wasteful number, since it uses less digits than its factorization.

13123311432100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1384944 (or 1384937 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

Adding to 13123311432100 its reverse (123411332131), we get a palindrome (13246722764231).

The spelling of 13123311432100 in words is "thirteen trillion, one hundred twenty-three billion, three hundred eleven million, four hundred thirty-two thousand, one hundred".