130302322120032 has 192 divisors, whose sum is σ = 351275112953856. Its totient is φ = 42277285877760.

The previous prime is 130302322120031. The next prime is 130302322120057. The reversal of 130302322120032 is 230021223203031.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 130302322119984 and 130302322120011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130302322120031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 858232158 + ... + 858383970.

It is an arithmetic number, because the mean of its divisors is an integer number (1829557879968).

Almost surely, 2^{130302322120032} is an apocalyptic number.

130302322120032 is a gapful number since it is divisible by the number (12) 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 130302322120032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175637556476928).

130302322120032 is an abundant number, since it is smaller than the sum of its proper divisors (220972790833824).

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

130302322120032 is a wasteful number, since it uses less digits than its factorization.

130302322120032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153413 (or 153405 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 130302322120032 its reverse (230021223203031), we get a palindrome (360323545323063).

The spelling of 130302322120032 in words is "one hundred thirty trillion, three hundred two billion, three hundred twenty-two million, one hundred twenty thousand, thirty-two".