13102113201000 has 256 divisors, whose sum is σ = 42515009222400. Its totient is φ = 3356696448000.

The previous prime is 13102113200983. The next prime is 13102113201011. The reversal of 13102113201000 is 10231120131.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7036486 + ... + 8701514.

It is an arithmetic number, because the mean of its divisors is an integer number (166074254775).

Almost surely, 2^{13102113201000} is an apocalyptic number.

13102113201000 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 13102113201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21257504611200).

13102113201000 is an abundant number, since it is smaller than the sum of its proper divisors (29412896021400).

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

13102113201000 is a wasteful number, since it uses less digits than its factorization.

13102113201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1665157 (or 1665143 counting only the distinct ones).

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

Adding to 13102113201000 its reverse (10231120131), we get a palindrome (13112344321131).

The spelling of 13102113201000 in words is "thirteen trillion, one hundred two billion, one hundred thirteen million, two hundred one thousand".