1330331343120 has 240 divisors, whose sum is σ = 4846489148592. Its totient is φ = 325075599360.

The previous prime is 1330331343059. The next prime is 1330331343127. The reversal of 1330331343120 is 213431330331.

1330331343120 is a `hidden beast` number, since 1 + 3 + 30 + 3 + 313 + 4 + 312 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 73627566336 + 1256703776784 = 271344^2 + 1121028^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (1330331343127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 763600 + ... + 1801040.

Almost surely, 2^{1330331343120} is an apocalyptic number.

1330331343120 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 1330331343120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2423244574296).

1330331343120 is an abundant number, since it is smaller than the sum of its proper divisors (3516157805472).

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

1330331343120 is a wasteful number, since it uses less digits than its factorization.

1330331343120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1037610 (or 1037601 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 1330331343120 its reverse (213431330331), we get a palindrome (1543762673451).

The spelling of 1330331343120 in words is "one trillion, three hundred thirty billion, three hundred thirty-one million, three hundred forty-three thousand, one hundred twenty".