10013003010 has 48 divisors (see below), whose sum is σ = 26076146616. Its totient is φ = 2665791744.

The previous prime is 10013003003. The next prime is 10013003023. The reversal of 10013003010 is 1030031001.

It can be written as a sum of positive squares in 4 ways, for example, as 2435126409 + 7577876601 = 49347^2 + 87051^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10013002983 and 10013003001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34629 + ... + 145688.

Almost surely, 2^10013003010 is an apocalyptic number.

10013003010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10013003010 is an abundant number, since it is smaller than the sum of its proper divisors (16063143606).

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

10013003010 is a wasteful number, since it uses less digits than its factorization.

10013003010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180947 (or 180944 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 9.

Adding to 10013003010 its reverse (1030031001), we get a palindrome (11043034011).

The spelling of 10013003010 in words is "ten billion, thirteen million, three thousand, ten".