130434444121020 has 384 divisors, whose sum is σ = 419734412697600. Its totient is φ = 29979936718848.

The previous prime is 130434444121013. The next prime is 130434444121039. The reversal of 130434444121020 is 20121444434031.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3195414171 + ... + 3195454989.

It is an arithmetic number, because the mean of its divisors is an integer number (1093058366400).

Almost surely, 2^{130434444121020} is an apocalyptic number.

130434444121020 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 130434444121020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209867206348800).

130434444121020 is an abundant number, since it is smaller than the sum of its proper divisors (289299968576580).

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

130434444121020 is a wasteful number, since it uses less digits than its factorization.

130434444121020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42757 (or 42755 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 130434444121020 its reverse (20121444434031), we get a palindrome (150555888555051).

The spelling of 130434444121020 in words is "one hundred thirty trillion, four hundred thirty-four billion, four hundred forty-four million, one hundred twenty-one thousand, twenty".