10013310 has 96 divisors (see below), whose sum is σ = 27885312. Its totient is φ = 2488320.

The previous prime is 10013287. The next prime is 10013317. The reversal of 10013310 is 1331001.

It is a super-2 number, since 2×10013310² = 200532754312200, which contains 22 as substring.

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 = 10013292 and 10013301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10013317) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 103182 + ... + 103278.

It is an arithmetic number, because the mean of its divisors is an integer number (290472).

Almost surely, 2^10013310 is an apocalyptic number.

10013310 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 10013310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13942656).

10013310 is an abundant number, since it is smaller than the sum of its proper divisors (17872002).

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

10013310 is a wasteful number, since it uses less digits than its factorization.

10013310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 175 counting only the distinct ones).

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

The square root of 10013310 is about 3164.3814561459. The cubic root of 10013310 is about 215.5390117124.

Adding to 10013310 its reverse (1331001), we get a palindrome (11344311).

It can be divided in two parts, 100 and 13310, that multiplied together give a cube (1331000 = 110³).

The spelling of 10013310 in words is "ten million, thirteen thousand, three hundred ten".