10131303010000 has 100 divisors (see below), whose sum is σ = 24532790822100. Its totient is φ = 4051878016000.

The previous prime is 10131303009977. The next prime is 10131303010019. The reversal of 10131303010000 is 1030313101.

It is a happy number.

10131303010000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 10 ways, for example, as 4493280709696 + 5638022300304 = 2119736^2 + 2374452^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 65612886 + ... + 65767114.

It is an arithmetic number, because the mean of its divisors is an integer number (245327908221).

Almost surely, 2^{10131303010000} is an apocalyptic number.

10131303010000 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 10131303010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12266395411050).

10131303010000 is an abundant number, since it is smaller than the sum of its proper divisors (14401487812100).

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

10131303010000 is an equidigital number, since it uses as much as digits as its factorization.

10131303010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160826 (or 160805 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 13.

Adding to 10131303010000 its reverse (1030313101), we get a palindrome (10132333323101).

The spelling of 10131303010000 in words is "ten trillion, one hundred thirty-one billion, three hundred three million, ten thousand".