13083310080 has 384 divisors, whose sum is σ = 47174400000. Its totient is φ = 3438968832.

The previous prime is 13083310069. The next prime is 13083310117. The reversal of 13083310080 is 8001338031.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21841621 + ... + 21842219.

It is an arithmetic number, because the mean of its divisors is an integer number (122850000).

Almost surely, 2^13083310080 is an apocalyptic number.

13083310080 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 13083310080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23587200000).

13083310080 is an abundant number, since it is smaller than the sum of its proper divisors (34091089920).

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

13083310080 is an equidigital number, since it uses as much as digits as its factorization.

13083310080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 714 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 13083310080 in words is "thirteen billion, eighty-three million, three hundred ten thousand, eighty".