13405434511311 has 32 divisors (see below), whose sum is σ = 20892943008000. Its totient is φ = 8482534802784.

The previous prime is 13405434511291. The next prime is 13405434511331. The reversal of 13405434511311 is 11311543450431.

It is a happy number.

13405434511311 is a `hidden beast` number, since 1 + 3 + 40 + 5 + 434 + 51 + 131 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (13405434511291) and next prime (13405434511331).

It is not a de Polignac number, because 13405434511311 - 2³³ = 13396844576719 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13405434511331) 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, 145043685 + ... + 145136078.

It is an arithmetic number, because the mean of its divisors is an integer number (652904469000).

Almost surely, 2^{13405434511311} is an apocalyptic number.

13405434511311 is a deficient number, since it is larger than the sum of its proper divisors (7487508496689).

13405434511311 is a wasteful number, since it uses less digits than its factorization.

13405434511311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290179860 (or 290179854 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

Adding to 13405434511311 its reverse (11311543450431), we get a palindrome (24716977961742).

The spelling of 13405434511311 in words is "thirteen trillion, four hundred five billion, four hundred thirty-four million, five hundred eleven thousand, three hundred eleven".