1311301211232 has 96 divisors (see below), whose sum is σ = 3558839445504. Its totient is φ = 422329420800.

The previous prime is 1311301211219. The next prime is 1311301211257. The reversal of 1311301211232 is 2321121031131.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 1311301211199 and 1311301211208.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1528708 + ... + 2227004.

It is an arithmetic number, because the mean of its divisors is an integer number (37071244224).

Almost surely, 2^{1311301211232} is an apocalyptic number.

1311301211232 is a gapful number since it is divisible by the number (12) 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 1311301211232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1779419722752).

1311301211232 is an abundant number, since it is smaller than the sum of its proper divisors (2247538234272).

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

1311301211232 is a wasteful number, since it uses less digits than its factorization.

1311301211232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698972 (or 698964 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 1311301211232 its reverse (2321121031131), we get a palindrome (3632422242363).

The spelling of 1311301211232 in words is "one trillion, three hundred eleven billion, three hundred one million, two hundred eleven thousand, two hundred thirty-two".