13016000 has 56 divisors (see below), whose sum is σ = 32253936. Its totient is φ = 5203200.

The previous prime is 13015991. The next prime is 13016009. The reversal of 13016000 is 61031.

It is an interprime number because it is at equal distance from previous prime (13015991) and next prime (13016009).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13016009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7187 + ... + 8813.

Almost surely, 2^13016000 is an apocalyptic number.

13016000 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 13016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16126968).

13016000 is an abundant number, since it is smaller than the sum of its proper divisors (19237936).

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

13016000 is an equidigital number, since it uses as much as digits as its factorization.

13016000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1654 (or 1634 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 13016000 is about 3607.7693939608. The cubic root of 13016000 is about 235.2298942366.

Adding to 13016000 its reverse (61031), we get a palindrome (13077031).

The spelling of 13016000 in words is "thirteen million, sixteen thousand".