1331312320032 has 24 divisors (see below), whose sum is σ = 3494694840336. Its totient is φ = 443770773312.

The previous prime is 1331312320007. The next prime is 1331312320067. The reversal of 1331312320032 is 2300232131331.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 1331312319984 and 1331312320011.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6933918238 + ... + 6933918429.

It is an arithmetic number, because the mean of its divisors is an integer number (145612285014).

Almost surely, 2^{1331312320032} is an apocalyptic number.

1331312320032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1331312320032 is an abundant number, since it is smaller than the sum of its proper divisors (2163382520304).

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

1331312320032 is a wasteful number, since it uses less digits than its factorization.

1331312320032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13867836680 (or 13867836672 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 1331312320032 its reverse (2300232131331), we get a palindrome (3631544451363).

The spelling of 1331312320032 in words is "one trillion, three hundred thirty-one billion, three hundred twelve million, three hundred twenty thousand, thirty-two".