1331320172 has 96 divisors (see below), whose sum is σ = 2986475520. Its totient is φ = 505128960.

The previous prime is 1331320171. The next prime is 1331320231. The reversal of 1331320172 is 2710231331.

It is not an unprimeable number, because it can be changed into a prime (1331320171) 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, 1432604 + ... + 1433532.

It is an arithmetic number, because the mean of its divisors is an integer number (31109120).

Almost surely, 2^1331320172 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 1331320172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1493237760).

1331320172 is an abundant number, since it is smaller than the sum of its proper divisors (1655155348).

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

1331320172 is a wasteful number, since it uses less digits than its factorization.

1331320172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1111 (or 1109 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 23.

The square root of 1331320172 is about 36487.2604068872. The cubic root of 1331320172 is about 1100.0881945815.

The spelling of 1331320172 in words is "one billion, three hundred thirty-one million, three hundred twenty thousand, one hundred seventy-two".