13102001100000 has 864 divisors, whose sum is σ = 49422463009920. Its totient is φ = 3412342080000.

The previous prime is 13102001099987. The next prime is 13102001100007. The reversal of 13102001100000 is 110020131.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13102001100007) 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, 1044893731 + ... + 1044906269.

It is an arithmetic number, because the mean of its divisors is an integer number (57201924780).

Almost surely, 2^{13102001100000} is an apocalyptic number.

13102001100000 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 13102001100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24711231504960).

13102001100000 is an abundant number, since it is smaller than the sum of its proper divisors (36320461909920).

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

13102001100000 is an frugal number, since it uses more digits than its factorization.

13102001100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12632 (or 12592 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 13102001100000 its reverse (110020131), we get a palindrome (13102111120131).

The spelling of 13102001100000 in words is "thirteen trillion, one hundred two billion, one million, one hundred thousand".