1311301530 has 384 divisors, whose sum is σ = 4679700480. Its totient is φ = 246343680.

The previous prime is 1311301529. The next prime is 1311301531. The reversal of 1311301530 is 351031131.

1311301530 is a `hidden beast` number, since 1 + 3 + 1 + 130 + 1 + 530 = 666.

It is an interprime number because it is at equal distance from previous prime (1311301529) and next prime (1311301531).

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

It is not an unprimeable number, because it can be changed into a prime (1311301531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3028194 + ... + 3028626.

It is an arithmetic number, because the mean of its divisors is an integer number (12186720).

Almost surely, 2^1311301530 is an apocalyptic number.

1311301530 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 1311301530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2339850240).

1311301530 is an abundant number, since it is smaller than the sum of its proper divisors (3368398950).

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

1311301530 is a wasteful number, since it uses less digits than its factorization.

1311301530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 18.

The square root of 1311301530 is about 36211.8976304750. The cubic root of 1311301530 is about 1094.5464312776.

Adding to 1311301530 its reverse (351031131), we get a palindrome (1662332661).

The spelling of 1311301530 in words is "one billion, three hundred eleven million, three hundred one thousand, five hundred thirty".