1330131112001 has 8 divisors (see below), whose sum is σ = 1394846987880. Its totient is φ = 1266671855232.

The previous prime is 1330131111997. The next prime is 1330131112043. The reversal of 1330131112001 is 1002111310331.

It can be written as a sum of positive squares in 4 ways, for example, as 110875680400 + 1219255431601 = 332980^2 + 1104199^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1330131112001 - 2² = 1330131111997 is a prime.

It is a super-2 number, since 2×1330131112001² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1330131112501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 314152610 + ... + 314156843.

It is an arithmetic number, because the mean of its divisors is an integer number (174355873485).

Almost surely, 2^{1330131112001} is an apocalyptic number.

It is an amenable number.

1330131112001 is a deficient number, since it is larger than the sum of its proper divisors (64715875879).

1330131112001 is an equidigital number, since it uses as much as digits as its factorization.

1330131112001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628309555.

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 1330131112001 its reverse (1002111310331), we get a palindrome (2332242422332).

The spelling of 1330131112001 in words is "one trillion, three hundred thirty billion, one hundred thirty-one million, one hundred twelve thousand, one".