1331007327560 has 128 divisors (see below), whose sum is σ = 3341036160000. Its totient is φ = 474254843904.

The previous prime is 1331007327557. The next prime is 1331007327569. The reversal of 1331007327560 is 657237001331.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is not an unprimeable number, because it can be changed into a prime (1331007327569) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13503977 + ... + 13602183.

It is an arithmetic number, because the mean of its divisors is an integer number (26101845000).

Almost surely, 2^{1331007327560} is an apocalyptic number.

1331007327560 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 1331007327560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1670518080000).

1331007327560 is an abundant number, since it is smaller than the sum of its proper divisors (2010028832440).

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

1331007327560 is a wasteful number, since it uses less digits than its factorization.

1331007327560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99303 (or 99299 counting only the distinct ones).

The product of its (nonzero) digits is 79380, while the sum is 38.

The spelling of 1331007327560 in words is "one trillion, three hundred thirty-one billion, seven million, three hundred twenty-seven thousand, five hundred sixty".