10013102310 has 128 divisors (see below), whose sum is σ = 25754112000. Its totient is φ = 2486973440.

The previous prime is 10013102299. The next prime is 10013102317. The reversal of 10013102310 is 1320131001.

10013102310 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10013102310² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10013102317) by changing a digit.

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, 2901466 + ... + 2904914.

It is an arithmetic number, because the mean of its divisors is an integer number (201204000).

Almost surely, 2^10013102310 is an apocalyptic number.

10013102310 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 10013102310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12877056000).

10013102310 is an abundant number, since it is smaller than the sum of its proper divisors (15741009690).

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

10013102310 is a wasteful number, since it uses less digits than its factorization.

10013102310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3606.

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 10013102310 its reverse (1320131001), we get a palindrome (11333233311).

The spelling of 10013102310 in words is "ten billion, thirteen million, one hundred two thousand, three hundred ten".