1001332331001 has 48 divisors (see below), whose sum is σ = 1538136085200. Its totient is φ = 626522770944.

The previous prime is 1001332330949. The next prime is 1001332331057.

It is a happy number.

1001332331001 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 332 + 331 + 0 + 0 + 1 = 666.

1001332331001 is nontrivially palindromic in base 10.

1001332331001 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 1934240400 + 999398090601 = 43980^2 + 999699^2 .

It is not a de Polignac number, because 1001332331001 - 2¹⁷ = 1001332199929 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1001332331101) 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, 10274835 + ... + 10371831.

It is an arithmetic number, because the mean of its divisors is an integer number (32044501775).

Almost surely, 2^{1001332331001} is an apocalyptic number.

It is an amenable number.

1001332331001 is a deficient number, since it is larger than the sum of its proper divisors (536803754199).

1001332331001 is a wasteful number, since it uses less digits than its factorization.

1001332331001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98138 (or 98135 counting only the distinct ones).

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

The spelling of 1001332331001 in words is "one trillion, one billion, three hundred thirty-two million, three hundred thirty-one thousand, one".