13102010000 has 100 divisors (see below), whose sum is σ = 31776937500. Its totient is φ = 5231616000.

The previous prime is 13102009981. The next prime is 13102010003. The reversal of 13102010000 is 1020131.

It can be written as a sum of positive squares in 10 ways, for example, as 7746112144 + 5355897856 = 88012^2 + 73184^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 13102010000.

It is not an unprimeable number, because it can be changed into a prime (13102010003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 10489376 + ... + 10490624.

It is an arithmetic number, because the mean of its divisors is an integer number (317769375).

Almost surely, 2^13102010000 is an apocalyptic number.

13102010000 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 13102010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15888468750).

13102010000 is an abundant number, since it is smaller than the sum of its proper divisors (18674927500).

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

13102010000 is a wasteful number, since it uses less digits than its factorization.

13102010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2326 (or 2305 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

Adding to 13102010000 its reverse (1020131), we get a palindrome (13103030131).

The spelling of 13102010000 in words is "thirteen billion, one hundred two million, ten thousand".