1330319412041 has 8 divisors (see below), whose sum is σ = 1343473085760. Its totient is φ = 1317170314512.

The previous prime is 1330319412031. The next prime is 1330319412067. The reversal of 1330319412041 is 1402149130331.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1330319412041 is a prime.

It is a super-3 number, since 3×1330319412041³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1330319411989 and 1330319412007.

It is not an unprimeable number, because it can be changed into a prime (1330319412031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 558290 + ... + 1724043.

It is an arithmetic number, because the mean of its divisors is an integer number (167934135720).

Almost surely, 2^{1330319412041} is an apocalyptic number.

It is an amenable number.

1330319412041 is a deficient number, since it is larger than the sum of its proper divisors (13153673719).

1330319412041 is a wasteful number, since it uses less digits than its factorization.

1330319412041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2288095.

The product of its (nonzero) digits is 7776, while the sum is 32.

The spelling of 1330319412041 in words is "one trillion, three hundred thirty billion, three hundred nineteen million, four hundred twelve thousand, forty-one".