1306332213360 has 160 divisors (see below), whose sum is σ = 4060233699840. Its totient is φ = 347444358144.

The previous prime is 1306332213343. The next prime is 1306332213367. The reversal of 1306332213360 is 633122336031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1306332213367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 159713751 + ... + 159721929.

It is an arithmetic number, because the mean of its divisors is an integer number (25376460624).

Almost surely, 2^{1306332213360} is an apocalyptic number.

1306332213360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1306332213360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2030116849920).

1306332213360 is an abundant number, since it is smaller than the sum of its proper divisors (2753901486480).

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

1306332213360 is a wasteful number, since it uses less digits than its factorization.

1306332213360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9855 (or 9849 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 33.

Adding to 1306332213360 its reverse (633122336031), we get a palindrome (1939454549391).

The spelling of 1306332213360 in words is "one trillion, three hundred six billion, three hundred thirty-two million, two hundred thirteen thousand, three hundred sixty".