17130100320 has 672 divisors, whose sum is σ = 65860052832. Its totient is φ = 4192321536.

The previous prime is 17130100307. The next prime is 17130100343. The reversal of 17130100320 is 2300103171.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 17130100293 and 17130100302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 105092559 + ... + 105092721.

It is an arithmetic number, because the mean of its divisors is an integer number (98006031).

Almost surely, 2^17130100320 is an apocalyptic number.

17130100320 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 17130100320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32930026416).

17130100320 is an abundant number, since it is smaller than the sum of its proper divisors (48729952512).

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

17130100320 is a wasteful number, since it uses less digits than its factorization.

17130100320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

Adding to 17130100320 its reverse (2300103171), we get a palindrome (19430203491).

The spelling of 17130100320 in words is "seventeen billion, one hundred thirty million, one hundred thousand, three hundred twenty".