31100011131121 has 2 divisors, whose sum is σ = 31100011131122. Its totient is φ = 31100011131120.

The previous prime is 31100011131107. The next prime is 31100011131127. The reversal of 31100011131121 is 12113111000113.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 26608430288896 + 4491580842225 = 5158336^2 + 2119335^2 .

It is an emirp because it is prime and its reverse (12113111000113) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 31100011131121 - 2¹⁷ = 31100011000049 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 31100011131095 and 31100011131104.

It is not a weakly prime, because it can be changed into another prime (31100011131127) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15550005565560 + 15550005565561.

It is an arithmetic number, because the mean of its divisors is an integer number (15550005565561).

Almost surely, 2^{31100011131121} is an apocalyptic number.

It is an amenable number.

31100011131121 is a deficient number, since it is larger than the sum of its proper divisors (1).

31100011131121 is an equidigital number, since it uses as much as digits as its factorization.

31100011131121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18, while the sum is 16.

Adding to 31100011131121 its reverse (12113111000113), we get a palindrome (43213122131234).

The spelling of 31100011131121 in words is "thirty-one trillion, one hundred billion, eleven million, one hundred thirty-one thousand, one hundred twenty-one".