13010122101300 has 288 divisors, whose sum is σ = 38829810066432. Its totient is φ = 3361293573120.

The previous prime is 13010122101289. The next prime is 13010122101313. The reversal of 13010122101300 is 310122101031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 13010122101300.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3299547129 + ... + 3299551071.

Almost surely, 2^{13010122101300} is an apocalyptic number.

13010122101300 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 13010122101300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19414905033216).

13010122101300 is an abundant number, since it is smaller than the sum of its proper divisors (25819687965132).

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

13010122101300 is a wasteful number, since it uses less digits than its factorization.

13010122101300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6007 (or 6000 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 13010122101300 its reverse (310122101031), we get a palindrome (13320244202331).

The spelling of 13010122101300 in words is "thirteen trillion, ten billion, one hundred twenty-two million, one hundred one thousand, three hundred".