1311413310 has 96 divisors (see below), whose sum is σ = 3608437248. Its totient is φ = 329757120.

The previous prime is 1311413297. The next prime is 1311413357. The reversal of 1311413310 is 133141131.

1311413310 is a `hidden beast` number, since 1 + 311 + 41 + 3 + 310 = 666.

It is a super-2 number, since 2×1311413310² = 3439609739290312200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 142509 + ... + 151431.

It is an arithmetic number, because the mean of its divisors is an integer number (37587888).

Almost surely, 2^1311413310 is an apocalyptic number.

1311413310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1311413310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1804218624).

1311413310 is an abundant number, since it is smaller than the sum of its proper divisors (2297023938).

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

1311413310 is a wasteful number, since it uses less digits than its factorization.

1311413310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9030 (or 9027 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 1311413310 is about 36213.4410129720. The cubic root of 1311413310 is about 1094.5775314025.

Adding to 1311413310 its reverse (133141131), we get a palindrome (1444554441).

The spelling of 1311413310 in words is "one billion, three hundred eleven million, four hundred thirteen thousand, three hundred ten".