1331151532032 has 416 divisors, whose sum is σ = 4314493527552. Its totient is φ = 356329193472.

The previous prime is 1331151532027. The next prime is 1331151532033. The reversal of 1331151532032 is 2302351511331.

It is a super-2 number, since 2×1331151532032² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1331151532033) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 340707423 + ... + 340711329.

It is an arithmetic number, because the mean of its divisors is an integer number (10371378672).

Almost surely, 2^{1331151532032} is an apocalyptic number.

1331151532032 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 1331151532032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2157246763776).

1331151532032 is an abundant number, since it is smaller than the sum of its proper divisors (2983341995520).

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

1331151532032 is a wasteful number, since it uses less digits than its factorization.

1331151532032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4191 (or 4169 counting only the distinct ones).

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

The spelling of 1331151532032 in words is "one trillion, three hundred thirty-one billion, one hundred fifty-one million, five hundred thirty-two thousand, thirty-two".