31033320111001 has 16 divisors (see below), whose sum is σ = 34063462818000. Its totient is φ = 28095422734080.

The previous prime is 31033320110939. The next prime is 31033320111007. The reversal of 31033320111001 is 10011102333013.

It can be written as a sum of positive squares in 8 ways, for example, as 75690000 + 31033244421001 = 8700^2 + 5570749^2 .

It is not a de Polignac number, because 31033320111001 - 2²⁷ = 31033185893273 is a prime.

It is a super-2 number, since 2×31033320111001² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 31033320111001.

It is not an unprimeable number, because it can be changed into a prime (31033320111007) 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, 6298210 + ... + 10086331.

It is an arithmetic number, because the mean of its divisors is an integer number (2128966426125).

Almost surely, 2^{31033320111001} is an apocalyptic number.

It is an amenable number.

31033320111001 is a deficient number, since it is larger than the sum of its proper divisors (3030142706999).

31033320111001 is a wasteful number, since it uses less digits than its factorization.

31033320111001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16387356.

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 31033320111001 its reverse (10011102333013), we get a palindrome (41044422444014).

The spelling of 31033320111001 in words is "thirty-one trillion, thirty-three billion, three hundred twenty million, one hundred eleven thousand, one".