13030517660160 has 3840 divisors, whose sum is σ = 60127959564288. Its totient is φ = 2363306803200.

The previous prime is 13030517660141. The next prime is 13030517660197. The reversal of 13030517660160 is 6106671503031.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 121780538827 + ... + 121780538933.

Almost surely, 2^{13030517660160} is an apocalyptic number.

13030517660160 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 13030517660160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30063979782144).

13030517660160 is an abundant number, since it is smaller than the sum of its proper divisors (47097441904128).

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

13030517660160 is a wasteful number, since it uses less digits than its factorization.

13030517660160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 39.

The spelling of 13030517660160 in words is "thirteen trillion, thirty billion, five hundred seventeen million, six hundred sixty thousand, one hundred sixty".