13340434000311 has 24 divisors (see below), whose sum is σ = 22257836409744. Its totient is φ = 7609516719360.

The previous prime is 13340434000307. The next prime is 13340434000321. The reversal of 13340434000311 is 11300043404331.

13340434000311 is a `hidden beast` number, since 1 + 3 + 3 + 4 + 0 + 4 + 340 + 0 + 0 + 311 = 666.

13340434000311 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13340434000311 - 2² = 13340434000307 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13340434000321) 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, 3963288276 + ... + 3963291641.

It is an arithmetic number, because the mean of its divisors is an integer number (927409850406).

Almost surely, 2^{13340434000311} is an apocalyptic number.

13340434000311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13340434000311 is a deficient number, since it is larger than the sum of its proper divisors (8917402409433).

13340434000311 is a wasteful number, since it uses less digits than its factorization.

13340434000311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7926579951 (or 7926579948 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 13340434000311 its reverse (11300043404331), we get a palindrome (24640477404642).

The spelling of 13340434000311 in words is "thirteen trillion, three hundred forty billion, four hundred thirty-four million, three hundred eleven", and thus it is an aban number.