13017661933320 has 672 divisors, whose sum is σ = 48320742821400. Its totient is φ = 3152460072960.

The previous prime is 13017661933301. The next prime is 13017661933343. The reversal of 13017661933320 is 2333916671031.

13017661933320 is a `hidden beast` number, since 1 + 3 + 0 + 1 + 7 + 6 + 619 + 3 + 3 + 3 + 20 = 666.

13017661933320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 12194943999876 + 822717933444 = 3492126^2 + 907038^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 5677130094 + ... + 5677132386.

Almost surely, 2^{13017661933320} is an apocalyptic number.

13017661933320 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 13017661933320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24160371410700).

13017661933320 is an abundant number, since it is smaller than the sum of its proper divisors (35303080888080).

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

13017661933320 is a wasteful number, since it uses less digits than its factorization.

13017661933320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3953 (or 3923 counting only the distinct ones).

The product of its (nonzero) digits is 367416, while the sum is 45.

The spelling of 13017661933320 in words is "thirteen trillion, seventeen billion, six hundred sixty-one million, nine hundred thirty-three thousand, three hundred twenty".