1325315311320 has 1024 divisors, whose sum is σ = 5587492700160. Its totient is φ = 242410291200.

The previous prime is 1325315311319. The next prime is 1325315311367. The reversal of 1325315311320 is 231135135231.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1356514672 + ... + 1356515648.

It is an arithmetic number, because the mean of its divisors is an integer number (5456535840).

Almost surely, 2^{1325315311320} is an apocalyptic number.

1325315311320 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 1325315311320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2793746350080).

1325315311320 is an abundant number, since it is smaller than the sum of its proper divisors (4262177388840).

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

1325315311320 is a wasteful number, since it uses less digits than its factorization.

1325315311320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1536 (or 1532 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 30.

The spelling of 1325315311320 in words is "one trillion, three hundred twenty-five billion, three hundred fifteen million, three hundred eleven thousand, three hundred twenty".