2001231013329 has 12 divisors (see below), whose sum is σ = 2891028772996. Its totient is φ = 1333987045632.

The previous prime is 2001231013321. The next prime is 2001231013337. The reversal of 2001231013329 is 9233101321002.

2001231013329 is a `hidden beast` number, since 2 + 0 + 0 + 12 + 310 + 1 + 332 + 9 = 666.

It is an interprime number because it is at equal distance from previous prime (2001231013321) and next prime (2001231013337).

It can be written as a sum of positive squares in 2 ways, for example, as 85221373329 + 1916009640000 = 291927^2 + 1384200^2 .

It is not a de Polignac number, because 2001231013329 - 2³ = 2001231013321 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2001231013321) 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 11 ways as a sum of consecutive naturals, for example, 13837672 + ... + 13981545.

Almost surely, 2^{2001231013329} is an apocalyptic number.

It is an amenable number.

2001231013329 is a deficient number, since it is larger than the sum of its proper divisors (889797759667).

2001231013329 is a wasteful number, since it uses less digits than its factorization.

2001231013329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27827216 (or 27827213 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The spelling of 2001231013329 in words is "two trillion, one billion, two hundred thirty-one million, thirteen thousand, three hundred twenty-nine".