1311413241330 has 224 divisors, whose sum is σ = 3630232629504. Its totient is φ = 340779840768.

The previous prime is 1311413241167. The next prime is 1311413241349. The reversal of 1311413241330 is 331423141131.

1311413241330 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 4 + 1 + 324 + 1 + 330 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1311413241294 and 1311413241303.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 79824577 + ... + 79841003.

Almost surely, 2^{1311413241330} is an apocalyptic number.

1311413241330 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 1311413241330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1815116314752).

1311413241330 is an abundant number, since it is smaller than the sum of its proper divisors (2318819388174).

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

1311413241330 is a wasteful number, since it uses less digits than its factorization.

1311413241330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16732 (or 16717 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 1311413241330 its reverse (331423141131), we get a palindrome (1642836382461).

The spelling of 1311413241330 in words is "one trillion, three hundred eleven billion, four hundred thirteen million, two hundred forty-one thousand, three hundred thirty".