13101322101300 has 180 divisors, whose sum is σ = 42506956841580. Its totient is φ = 3490588961280.

The previous prime is 13101322101289. The next prime is 13101322101317. The reversal of 13101322101300 is 310122310131.

13101322101300 is a `hidden beast` number, since 1 + 31 + 0 + 1 + 322 + 10 + 1 + 300 = 666.

13101322101300 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 2742991815204 + 10358330286096 = 1656198^2 + 3218436^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 8428582 + ... + 9861218.

It is an arithmetic number, because the mean of its divisors is an integer number (236149760231).

Almost surely, 2^{13101322101300} is an apocalyptic number.

13101322101300 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 13101322101300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21253478420790).

13101322101300 is an abundant number, since it is smaller than the sum of its proper divisors (29405634740280).

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

13101322101300 is a wasteful number, since it uses less digits than its factorization.

13101322101300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1433792 (or 1433776 counting only the distinct ones).

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

Adding to 13101322101300 its reverse (310122310131), we get a palindrome (13411444411431).

The spelling of 13101322101300 in words is "thirteen trillion, one hundred one billion, three hundred twenty-two million, one hundred one thousand, three hundred".