1310531132416 has 176 divisors, whose sum is σ = 2962878238080. Its totient is φ = 573913088000.

The previous prime is 1310531132413. The next prime is 1310531132423. The reversal of 1310531132416 is 6142311350131.

It is a tau number, because it is divible by the number of its divisors (176).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1310531132413) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 160384011 + ... + 160392181.

Almost surely, 2^{1310531132416} is an apocalyptic number.

1310531132416 is a gapful number since it is divisible by the number (16) 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 1310531132416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1481439119040).

1310531132416 is an abundant number, since it is smaller than the sum of its proper divisors (1652347105664).

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

1310531132416 is a wasteful number, since it uses less digits than its factorization.

1310531132416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8722 (or 8704 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

Adding to 1310531132416 its reverse (6142311350131), we get a palindrome (7452842482547).

The spelling of 1310531132416 in words is "one trillion, three hundred ten billion, five hundred thirty-one million, one hundred thirty-two thousand, four hundred sixteen".