13033198080 has 960 divisors, whose sum is σ = 55551944448. Its totient is φ = 2866544640.

The previous prime is 13033198069. The next prime is 13033198091. The reversal of 13033198080 is 8089133031.

It is an interprime number because it is at equal distance from previous prime (13033198069) and next prime (13033198091).

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-3 number, since 3×13033198080³ (a number of 31 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 178536924 + ... + 178536996.

Almost surely, 2^13033198080 is an apocalyptic number.

13033198080 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 13033198080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27775972224).

13033198080 is an abundant number, since it is smaller than the sum of its proper divisors (42518746368).

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

13033198080 is an frugal number, since it uses more digits than its factorization.

13033198080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 13033198080 in words is "thirteen billion, thirty-three million, one hundred ninety-eight thousand, eighty".