130083120 has 240 divisors, whose sum is σ = 474121440. Its totient is φ = 31850496.

The previous prime is 130083103. The next prime is 130083137. The reversal of 130083120 is 21380031.

It is an interprime number because it is at equal distance from previous prime (130083103) and next prime (130083137).

It is a tau number, because it is divible by the number of its divisors (240).

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 = 130083093 and 130083102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 506032 + ... + 506288.

It is an arithmetic number, because the mean of its divisors is an integer number (1975506).

Almost surely, 2^130083120 is an apocalyptic number.

130083120 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 130083120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237060720).

130083120 is an abundant number, since it is smaller than the sum of its proper divisors (344038320).

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

130083120 is a wasteful number, since it uses less digits than its factorization.

130083120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 130083120 is about 11405.3987216581. The cubic root of 130083120 is about 506.6876453302.

The spelling of 130083120 in words is "one hundred thirty million, eighty-three thousand, one hundred twenty".