13082310 has 80 divisors (see below), whose sum is σ = 36381312. Its totient is φ = 3369600.

The previous prime is 13082297. The next prime is 13082323. The reversal of 13082310 is 1328031.

It is an interprime number because it is at equal distance from previous prime (13082297) and next prime (13082323).

It is a super-2 number, since 2×13082310² = 342293669872200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 24850 + ... + 25370.

Almost surely, 2^13082310 is an apocalyptic number.

13082310 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 13082310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18190656).

13082310 is an abundant number, since it is smaller than the sum of its proper divisors (23299002).

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

13082310 is a wasteful number, since it uses less digits than its factorization.

13082310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 571 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 13082310 is about 3616.9476081359. The cubic root of 13082310 is about 235.6286772944.

The spelling of 13082310 in words is "thirteen million, eighty-two thousand, three hundred ten".