13016781600 has 288 divisors, whose sum is σ = 43593209856. Its totient is φ = 3372057600.

The previous prime is 13016781587. The next prime is 13016781619. The reversal of 13016781600 is 618761031.

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, 18837255 + ... + 18837945.

It is an arithmetic number, because the mean of its divisors is an integer number (151365312).

Almost surely, 2^13016781600 is an apocalyptic number.

13016781600 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 13016781600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21796604928).

13016781600 is an abundant number, since it is smaller than the sum of its proper divisors (30576428256).

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

13016781600 is a wasteful number, since it uses less digits than its factorization.

13016781600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 928 (or 915 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The spelling of 13016781600 in words is "thirteen billion, sixteen million, seven hundred eighty-one thousand, six hundred".