31122213111001 has 8 divisors (see below), whose sum is σ = 31904511705864. Its totient is φ = 30341020241280.

The previous prime is 31122213110987. The next prime is 31122213111047. The reversal of 31122213111001 is 10011131222113.

It can be written as a sum of positive squares in 4 ways, for example, as 10640976726601 + 20481236384400 = 3262051^2 + 4525620^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 31122213111001 - 2¹⁷ = 31122212979929 is a prime.

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 31122213111001.

It is not an unprimeable number, because it can be changed into a prime (31122213121001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 276374286 + ... + 276486871.

It is an arithmetic number, because the mean of its divisors is an integer number (3988063963233).

Almost surely, 2^{31122213111001} is an apocalyptic number.

It is an amenable number.

31122213111001 is a deficient number, since it is larger than the sum of its proper divisors (782298594863).

31122213111001 is a wasteful number, since it uses less digits than its factorization.

31122213111001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552862571.

The product of its (nonzero) digits is 72, while the sum is 19.

Adding to 31122213111001 its reverse (10011131222113), we get a palindrome (41133344333114).

The spelling of 31122213111001 in words is "thirty-one trillion, one hundred twenty-two billion, two hundred thirteen million, one hundred eleven thousand, one".