13122121310100 has 432 divisors, whose sum is σ = 46189872158976. Its totient is φ = 3087925632000.

The previous prime is 13122121310003. The next prime is 13122121310107. The reversal of 13122121310100 is 101312122131.

13122121310100 is a `hidden beast` number, since 1 + 31 + 221 + 2 + 1 + 310 + 100 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13122121310107) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 157833742 + ... + 157916858.

It is an arithmetic number, because the mean of its divisors is an integer number (106921000368).

Almost surely, 2^{13122121310100} is an apocalyptic number.

13122121310100 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 13122121310100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23094936079488).

13122121310100 is an abundant number, since it is smaller than the sum of its proper divisors (33067750848876).

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

13122121310100 is a wasteful number, since it uses less digits than its factorization.

13122121310100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83616 (or 83606 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 13122121310100 its reverse (101312122131), we get a palindrome (13223433432231).

The spelling of 13122121310100 in words is "thirteen trillion, one hundred twenty-two billion, one hundred twenty-one million, three hundred ten thousand, one hundred".