2000016000031 has 16 divisors (see below), whose sum is σ = 2293787566080. Its totient is φ = 1708265220480.

The previous prime is 2000015999999. The next prime is 2000016000067. The reversal of 2000016000031 is 1300006100002.

It is not a de Polignac number, because 2000016000031 - 2⁵ = 2000015999999 is a prime.

It is a super-2 number, since 2×2000016000031² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2000015999975 and 2000016000020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2000016000331) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3127810 + ... + 3712576.

It is an arithmetic number, because the mean of its divisors is an integer number (143361722880).

Almost surely, 2^{2000016000031} is an apocalyptic number.

2000016000031 is a deficient number, since it is larger than the sum of its proper divisors (293771566049).

2000016000031 is a wasteful number, since it uses less digits than its factorization.

2000016000031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586494.

The product of its (nonzero) digits is 36, while the sum is 13.

The spelling of 2000016000031 in words is "two trillion, sixteen million, thirty-one", and thus it is an aban number and an uban number.