13013100122000 has 240 divisors, whose sum is σ = 34617600217200. Its totient is φ = 4727745792000.

The previous prime is 13013100121997. The next prime is 13013100122047. The reversal of 13013100122000 is 22100131031.

It can be written as a sum of positive squares in 8 ways, for example, as 8279568875776 + 4733531246224 = 2877424^2 + 2175668^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 273194186 + ... + 273241814.

It is an arithmetic number, because the mean of its divisors is an integer number (144240000905).

Almost surely, 2^{13013100122000} is an apocalyptic number.

13013100122000 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 13013100122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17308800108600).

13013100122000 is an abundant number, since it is smaller than the sum of its proper divisors (21604500095200).

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

13013100122000 is a wasteful number, since it uses less digits than its factorization.

13013100122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48803 (or 48776 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 13013100122000 its reverse (22100131031), we get a palindrome (13035200253031).

The spelling of 13013100122000 in words is "thirteen trillion, thirteen billion, one hundred million, one hundred twenty-two thousand".