13023175680 has 176 divisors, whose sum is σ = 46282506240. Its totient is φ = 3472809984.

The previous prime is 13023175679. The next prime is 13023175687. The reversal of 13023175680 is 8657132031.

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

It is not an unprimeable number, because it can be changed into a prime (13023175687) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91137 + ... + 185343.

Almost surely, 2^13023175680 is an apocalyptic number.

13023175680 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 13023175680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23141253120).

13023175680 is an abundant number, since it is smaller than the sum of its proper divisors (33259330560).

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

13023175680 is an equidigital number, since it uses as much as digits as its factorization.

13023175680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94241 (or 94217 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 13023175680 in words is "thirteen billion, twenty-three million, one hundred seventy-five thousand, six hundred eighty".