13123221134100 has 288 divisors, whose sum is σ = 47350338717696. Its totient is φ = 2726252121600.

The previous prime is 13123221134099. The next prime is 13123221134147. The reversal of 13123221134100 is 143112232131.

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, 99888054 + ... + 100019346.

Almost surely, 2^{13123221134100} is an apocalyptic number.

13123221134100 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 13123221134100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23675169358848).

13123221134100 is an abundant number, since it is smaller than the sum of its proper divisors (34227117583596).

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

13123221134100 is a wasteful number, since it uses less digits than its factorization.

13123221134100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135655 (or 135648 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 13123221134100 its reverse (143112232131), we get a palindrome (13266333366231).

The spelling of 13123221134100 in words is "thirteen trillion, one hundred twenty-three billion, two hundred twenty-one million, one hundred thirty-four thousand, one hundred".