130434014400311 has 24 divisors (see below), whose sum is σ = 134283612954960. Its totient is φ = 126677306819712.

The previous prime is 130434014400229. The next prime is 130434014400331. The reversal of 130434014400311 is 113004410434031.

It is a de Polignac number, because none of the positive numbers 2^k-130434014400311 is a prime.

It is a super-2 number, since 2×130434014400311² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130434014400331) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 138163361 + ... + 139104213.

It is an arithmetic number, because the mean of its divisors is an integer number (5595150539790).

Almost surely, 2^{130434014400311} is an apocalyptic number.

130434014400311 is a deficient number, since it is larger than the sum of its proper divisors (3849598554649).

130434014400311 is an frugal number, since it uses more digits than its factorization.

130434014400311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 941423 (or 941356 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

Adding to 130434014400311 its reverse (113004410434031), we get a palindrome (243438424834342).

The spelling of 130434014400311 in words is "one hundred thirty trillion, four hundred thirty-four billion, fourteen million, four hundred thousand, three hundred eleven".