1331512643328 has 288 divisors, whose sum is σ = 4076325980160. Its totient is φ = 377968619520.

The previous prime is 1331512643309. The next prime is 1331512643347. The reversal of 1331512643328 is 8233462151331.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1331512643309) and next prime (1331512643347).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 1331512643328.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 843262443 + ... + 843264021.

Almost surely, 2^{1331512643328} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1331512643328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2038162990080).

1331512643328 is an abundant number, since it is smaller than the sum of its proper divisors (2744813336832).

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

1331512643328 is a wasteful number, since it uses less digits than its factorization.

1331512643328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2523 (or 2509 counting only the distinct ones).

The product of its digits is 311040, while the sum is 42.

Adding to 1331512643328 its reverse (8233462151331), we get a palindrome (9564974794659).

The spelling of 1331512643328 in words is "one trillion, three hundred thirty-one billion, five hundred twelve million, six hundred forty-three thousand, three hundred twenty-eight".