1311132232340 has 144 divisors (see below), whose sum is σ = 3307243968000. Its totient is φ = 434896439040.

The previous prime is 1311132232307. The next prime is 1311132232349. The reversal of 1311132232340 is 432322311131.

It is a happy number.

It is a super-3 number, since 3×1311132232340³ (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1311132232349) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 174650867 + ... + 174658373.

It is an arithmetic number, because the mean of its divisors is an integer number (22966972000).

Almost surely, 2^{1311132232340} is an apocalyptic number.

1311132232340 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 1311132232340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1653621984000).

1311132232340 is an abundant number, since it is smaller than the sum of its proper divisors (1996111735660).

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

1311132232340 is a wasteful number, since it uses less digits than its factorization.

1311132232340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13310 (or 13301 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 1311132232340 its reverse (432322311131), we get a palindrome (1743454543471).

The spelling of 1311132232340 in words is "one trillion, three hundred eleven billion, one hundred thirty-two million, two hundred thirty-two thousand, three hundred forty".