10013131302330 has 128 divisors (see below), whose sum is σ = 26493044336640. Its totient is φ = 2406947846400.

The previous prime is 10013131302311. The next prime is 10013131302367. The reversal of 10013131302330 is 3320313131001.

10013131302330 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10013131302297 and 10013131302306.

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, 2033569 + ... + 4915451.

It is an arithmetic number, because the mean of its divisors is an integer number (206976908880).

Almost surely, 2^{10013131302330} is an apocalyptic number.

10013131302330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10013131302330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13246522168320).

10013131302330 is an abundant number, since it is smaller than the sum of its proper divisors (16479913034310).

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

10013131302330 is a wasteful number, since it uses less digits than its factorization.

10013131302330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2882116.

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 10013131302330 its reverse (3320313131001), we get a palindrome (13333444433331).

The spelling of 10013131302330 in words is "ten trillion, thirteen billion, one hundred thirty-one million, three hundred two thousand, three hundred thirty".