13100310210000 has 400 divisors, whose sum is σ = 45660195060480. Its totient is φ = 3216364800000.

The previous prime is 13100310209999. The next prime is 13100310210019. The reversal of 13100310210000 is 1201300131.

13100310210000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 151666825 + ... + 151753175.

Almost surely, 2^{13100310210000} is an apocalyptic number.

13100310210000 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 13100310210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22830097530240).

13100310210000 is an abundant number, since it is smaller than the sum of its proper divisors (32559884850480).

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

13100310210000 is a wasteful number, since it uses less digits than its factorization.

13100310210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86784 (or 86763 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 13100310210000 its reverse (1201300131), we get a palindrome (13101511510131).

The spelling of 13100310210000 in words is "thirteen trillion, one hundred billion, three hundred ten million, two hundred ten thousand".