130117320 has 256 divisors, whose sum is σ = 484704000. Its totient is φ = 30855168.

The previous prime is 130117307. The next prime is 130117327. The reversal of 130117320 is 23711031.

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 = 130117293 and 130117302.

It is not an unprimeable number, because it can be changed into a prime (130117327) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 348654 + ... + 349026.

It is an arithmetic number, because the mean of its divisors is an integer number (1893375).

Almost surely, 2^130117320 is an apocalyptic number.

130117320 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 130117320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242352000).

130117320 is an abundant number, since it is smaller than the sum of its proper divisors (354586680).

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

130117320 is a wasteful number, since it uses less digits than its factorization.

130117320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 419 counting only the distinct ones).

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

The square root of 130117320 is about 11406.8979131050. The cubic root of 130117320 is about 506.7320456569.

Adding to 130117320 its reverse (23711031), we get a palindrome (153828351).

The spelling of 130117320 in words is "one hundred thirty million, one hundred seventeen thousand, three hundred twenty".