130434444424011 has 128 divisors (see below), whose sum is σ = 232913878880256. Its totient is φ = 62962438717440.

The previous prime is 130434444424001. The next prime is 130434444424027. The reversal of 130434444424011 is 110424444434031.

It is not a de Polignac number, because 130434444424011 - 2¹⁷ = 130434444292939 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (130434444424001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 264713191 + ... + 265205471.

It is an arithmetic number, because the mean of its divisors is an integer number (1819639678752).

Almost surely, 2^{130434444424011} is an apocalyptic number.

130434444424011 is a deficient number, since it is larger than the sum of its proper divisors (102479434456245).

130434444424011 is a wasteful number, since it uses less digits than its factorization.

130434444424011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493901.

The product of its (nonzero) digits is 294912, while the sum is 39.

Adding to 130434444424011 its reverse (110424444434031), we get a palindrome (240858888858042).

The spelling of 130434444424011 in words is "one hundred thirty trillion, four hundred thirty-four billion, four hundred forty-four million, four hundred twenty-four thousand, eleven".