130302071040 has 288 divisors, whose sum is σ = 422058986496. Its totient is φ = 34256977920.

The previous prime is 130302070999. The next prime is 130302071057. The reversal of 130302071040 is 40170203031.

It is a junction number, because it is equal to n+sod(n) for n = 130302070998 and 130302071016.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 131484945 + ... + 131485935.

It is an arithmetic number, because the mean of its divisors is an integer number (1465482592).

Almost surely, 2^130302071040 is an apocalyptic number.

130302071040 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 130302071040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211029493248).

130302071040 is an abundant number, since it is smaller than the sum of its proper divisors (291756915456).

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

130302071040 is an equidigital number, since it uses as much as digits as its factorization.

130302071040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1465 (or 1451 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

Adding to 130302071040 its reverse (40170203031), we get a palindrome (170472274071).

The spelling of 130302071040 in words is "one hundred thirty billion, three hundred two million, seventy-one thousand, forty".