13019031680 has 64 divisors (see below), whose sum is σ = 31314816000. Its totient is φ = 5175622656.

The previous prime is 13019031679. The next prime is 13019031691. The reversal of 13019031680 is 8613091031.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41921 + ... + 166719.

It is an arithmetic number, because the mean of its divisors is an integer number (489294000).

Almost surely, 2^13019031680 is an apocalyptic number.

13019031680 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 13019031680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15657408000).

13019031680 is an abundant number, since it is smaller than the sum of its proper divisors (18295784320).

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

13019031680 is a wasteful number, since it uses less digits than its factorization.

13019031680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124981 (or 124969 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 32.

The spelling of 13019031680 in words is "thirteen billion, nineteen million, thirty-one thousand, six hundred eighty".