13016191680 has 336 divisors, whose sum is σ = 47738995200. Its totient is φ = 3245598720.

The previous prime is 13016191637. The next prime is 13016191693. The reversal of 13016191680 is 8619161031.

It is a happy number.

13016191680 is a `hidden beast` number, since 1 + 30 + 1 + 619 + 1 + 6 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4321375 + ... + 4324385.

Almost surely, 2^13016191680 is an apocalyptic number.

13016191680 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 13016191680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23869497600).

13016191680 is an abundant number, since it is smaller than the sum of its proper divisors (34722803520).

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

13016191680 is a wasteful number, since it uses less digits than its factorization.

13016191680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3132 (or 3119 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

It can be divided in two parts, 130161 and 91680, that added together give a square (221841 = 471²).

The spelling of 13016191680 in words is "thirteen billion, sixteen million, one hundred ninety-one thousand, six hundred eighty".