1311310434 has 64 divisors (see below), whose sum is σ = 3068928000. Its totient is φ = 365746368.

The previous prime is 1311310397. The next prime is 1311310457. The reversal of 1311310434 is 4340131131.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 1311310434.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1181872 + ... + 1182980.

It is an arithmetic number, because the mean of its divisors is an integer number (47952000).

Almost surely, 2^1311310434 is an apocalyptic number.

1311310434 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1311310434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1534464000).

1311310434 is an abundant number, since it is smaller than the sum of its proper divisors (1757617566).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1311310434 is a wasteful number, since it uses less digits than its factorization.

1311310434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1767.

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 1311310434 is about 36212.0205732848. The cubic root of 1311310434 is about 1094.5489086685.

Adding to 1311310434 its reverse (4340131131), we get a palindrome (5651441565).

The spelling of 1311310434 in words is "one billion, three hundred eleven million, three hundred ten thousand, four hundred thirty-four".