1330102010331 has 24 divisors (see below), whose sum is σ = 1962323288640. Its totient is φ = 867785271936.

The previous prime is 1330102010317. The next prime is 1330102010357.

It is a happy number.

1330102010331 is a `hidden beast` number, since 1 + 3 + 301 + 0 + 20 + 10 + 331 = 666.

1330102010331 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1330102010331 - 2⁵ = 1330102010299 is a prime.

It is a super-2 number, since 2×1330102010331² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1330102010381) 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 23 ways as a sum of consecutive naturals, for example, 4461661 + ... + 4750433.

It is an arithmetic number, because the mean of its divisors is an integer number (81763470360).

Almost surely, 2^{1330102010331} is an apocalyptic number.

1330102010331 is a deficient number, since it is larger than the sum of its proper divisors (632221278309).

1330102010331 is a wasteful number, since it uses less digits than its factorization.

1330102010331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299715 (or 299712 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The spelling of 1330102010331 in words is "one trillion, three hundred thirty billion, one hundred two million, ten thousand, three hundred thirty-one".