10003113252 has 144 divisors (see below), whose sum is σ = 29004292800. Its totient is φ = 2956723200.

The previous prime is 10003113251. The next prime is 10003113313. The reversal of 10003113252 is 25231130001.

10003113252 is a `hidden beast` number, since 100 + 0 + 311 + 3 + 252 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10003113251) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1994524 + ... + 1999532.

It is an arithmetic number, because the mean of its divisors is an integer number (201418700).

Almost surely, 2^10003113252 is an apocalyptic number.

10003113252 is a gapful number since it is divisible by the number (12) 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 10003113252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14502146400).

10003113252 is an abundant number, since it is smaller than the sum of its proper divisors (19001179548).

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

10003113252 is a wasteful number, since it uses less digits than its factorization.

10003113252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5115 (or 5066 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

Adding to 10003113252 its reverse (25231130001), we get a palindrome (35234243253).

The spelling of 10003113252 in words is "ten billion, three million, one hundred thirteen thousand, two hundred fifty-two".