130434444442413 has 48 divisors (see below), whose sum is σ = 203945459276160. Its totient is φ = 82378179665856.

The previous prime is 130434444442409. The next prime is 130434444442427. The reversal of 130434444442413 is 314244444434031.

130434444442413 is a `hidden beast` number, since 130 + 4 + 3 + 4 + 44 + 44 + 424 + 13 = 666.

It is not a de Polignac number, because 130434444442413 - 2² = 130434444442409 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130434444440413) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 876931456 + ... + 877080182.

It is an arithmetic number, because the mean of its divisors is an integer number (4248863734920).

Almost surely, 2^{130434444442413} is an apocalyptic number.

It is an amenable number.

130434444442413 is a deficient number, since it is larger than the sum of its proper divisors (73511014833747).

130434444442413 is a wasteful number, since it uses less digits than its factorization.

130434444442413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238751 (or 238726 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 45.

Adding to 130434444442413 its reverse (314244444434031), we get a palindrome (444678888876444).

The spelling of 130434444442413 in words is "one hundred thirty trillion, four hundred thirty-four billion, four hundred forty-four million, four hundred forty-two thousand, four hundred thirteen".