13123002113100 has 576 divisors, whose sum is σ = 46472545566720. Its totient is φ = 3150375379200.

The previous prime is 13123002113083. The next prime is 13123002113129. The reversal of 13123002113100 is 131120032131.

13123002113100 is a `hidden beast` number, since 1 + 31 + 2 + 300 + 21 + 1 + 310 + 0 = 666.

It is a super-2 number, since 2×13123002113100² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2214102337 + ... + 2214108263.

It is an arithmetic number, because the mean of its divisors is an integer number (80681502720).

Almost surely, 2^{13123002113100} is an apocalyptic number.

13123002113100 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 13123002113100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23236272783360).

13123002113100 is an abundant number, since it is smaller than the sum of its proper divisors (33349543453620).

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

13123002113100 is a wasteful number, since it uses less digits than its factorization.

13123002113100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6675 (or 6662 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 13123002113100 its reverse (131120032131), we get a palindrome (13254122145231).

The spelling of 13123002113100 in words is "thirteen trillion, one hundred twenty-three billion, two million, one hundred thirteen thousand, one hundred".