130314450 has 96 divisors (see below), whose sum is σ = 374261760. Its totient is φ = 29390400.

The previous prime is 130314449. The next prime is 130314451. The reversal of 130314450 is 54413031.

It is an interprime number because it is at equal distance from previous prime (130314449) and next prime (130314451).

It is a super-3 number, since 3×130314450³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (130314451) 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 47 ways as a sum of consecutive naturals, for example, 82165 + ... + 83735.

It is an arithmetic number, because the mean of its divisors is an integer number (3898560).

Almost surely, 2^130314450 is an apocalyptic number.

130314450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 130314450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187130880).

130314450 is an abundant number, since it is smaller than the sum of its proper divisors (243947310).

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

130314450 is a wasteful number, since it uses less digits than its factorization.

130314450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1672 (or 1667 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 130314450 is about 11415.5354670729. The cubic root of 130314450 is about 506.9878191503.

Adding to 130314450 its reverse (54413031), we get a palindrome (184727481).

It can be divided in two parts, 1303 and 14450, that added together give a triangular number (15753 = T₁₇₇).

The spelling of 130314450 in words is "one hundred thirty million, three hundred fourteen thousand, four hundred fifty".