10513320 has 64 divisors (see below), whose sum is σ = 31968000. Its totient is φ = 2765568.

The previous prime is 10513319. The next prime is 10513331. The reversal of 10513320 is 2331501.

It is a happy number.

It is a super-2 number, since 2×10513320² = 221059794844800, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10513320.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8926 + ... + 10034.

It is an arithmetic number, because the mean of its divisors is an integer number (499500).

Almost surely, 2^10513320 is an apocalyptic number.

10513320 is a gapful number since it is divisible by the number (10) 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 10513320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15984000).

10513320 is an abundant number, since it is smaller than the sum of its proper divisors (21454680).

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

10513320 is a wasteful number, since it uses less digits than its factorization.

10513320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1202 (or 1198 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 10513320 is about 3242.4250184083. The cubic root of 10513320 is about 219.0685134148.

Adding to 10513320 its reverse (2331501), we get a palindrome (12844821).

It can be divided in two parts, 1051 and 3320, that added together give a triangular number (4371 = T₉₃).

The spelling of 10513320 in words is "ten million, five hundred thirteen thousand, three hundred twenty".