31122121000331 has 16 divisors (see below), whose sum is σ = 31668079361184. Its totient is φ = 30580600479744.

The previous prime is 31122121000291. The next prime is 31122121000447. The reversal of 31122121000331 is 13300012122113.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-31122121000331 is a prime.

It is a super-3 number, since 3×31122121000331³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (31122121005331) 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, 12811985 + ... + 15046301.

It is an arithmetic number, because the mean of its divisors is an integer number (1979254960074).

Almost surely, 2^{31122121000331} is an apocalyptic number.

31122121000331 is a deficient number, since it is larger than the sum of its proper divisors (545958360853).

31122121000331 is a wasteful number, since it uses less digits than its factorization.

31122121000331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2235310.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 31122121000331 its reverse (13300012122113), we get a palindrome (44422133122444).

The spelling of 31122121000331 in words is "thirty-one trillion, one hundred twenty-two billion, one hundred twenty-one million, three hundred thirty-one", and thus it is an aban number.