130371120 has 400 divisors, whose sum is σ = 518538240. Its totient is φ = 30067200.

The previous prime is 130371097. The next prime is 130371121. The reversal of 130371120 is 21173031.

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 = 130371093 and 130371102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130371121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2209651 + ... + 2209709.

Almost surely, 2^130371120 is an apocalyptic number.

130371120 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 130371120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259269120).

130371120 is an abundant number, since it is smaller than the sum of its proper divisors (388167120).

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

130371120 is a wasteful number, since it uses less digits than its factorization.

130371120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 111 counting only the distinct ones).

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

The square root of 130371120 is about 11418.0173410273. The cubic root of 130371120 is about 507.0612999653.

It can be divided in two parts, 1 and 30371120, that added together give a square (30371121 = 5511²).

The spelling of 130371120 in words is "one hundred thirty million, three hundred seventy-one thousand, one hundred twenty".