13002013216 has 48 divisors (see below), whose sum is σ = 25751464704. Its totient is φ = 6462054144.

The previous prime is 13002013147. The next prime is 13002013217. The reversal of 13002013216 is 61231020031.

13002013216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 13002013193 and 13002013202.

It is not an unprimeable number, because it can be changed into a prime (13002013217) 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 7 ways as a sum of consecutive naturals, for example, 7798815 + ... + 7800481.

It is an arithmetic number, because the mean of its divisors is an integer number (536488848).

Almost surely, 2^13002013216 is an apocalyptic number.

13002013216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13002013216 is a deficient number, since it is larger than the sum of its proper divisors (12749451488).

13002013216 is a wasteful number, since it uses less digits than its factorization.

13002013216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2993 (or 2985 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 13002013216 its reverse (61231020031), we get a palindrome (74233033247).

The spelling of 13002013216 in words is "thirteen billion, two million, thirteen thousand, two hundred sixteen".