10003131330 has 128 divisors (see below), whose sum is σ = 25727611392. Its totient is φ = 2480406528.

The previous prime is 10003131317. The next prime is 10003131349. The reversal of 10003131330 is 3313130001.

10003131330 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21888462 + ... + 21888918.

It is an arithmetic number, because the mean of its divisors is an integer number (200996964).

Almost surely, 2^10003131330 is an apocalyptic number.

10003131330 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 10003131330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12863805696).

10003131330 is an abundant number, since it is smaller than the sum of its proper divisors (15724480062).

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

10003131330 is a wasteful number, since it uses less digits than its factorization.

10003131330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 908.

The product of its (nonzero) digits is 81, while the sum is 15.

Adding to 10003131330 its reverse (3313130001), we get a palindrome (13316261331).

The spelling of 10003131330 in words is "ten billion, three million, one hundred thirty-one thousand, three hundred thirty".