31202213110129 has 2 divisors, whose sum is σ = 31202213110130. Its totient is φ = 31202213110128.

The previous prime is 31202213110051. The next prime is 31202213110139. The reversal of 31202213110129 is 92101131220213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 17040177600625 + 14162035509504 = 4127975^2 + 3763248^2 .

It is a cyclic number.

It is not a de Polignac number, because 31202213110129 - 2¹³ = 31202213101937 is a prime.

It is a super-3 number, since 3×31202213110129³ (a number of 41 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 31202213110097 and 31202213110106.

It is not a weakly prime, because it can be changed into another prime (31202213110139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15601106555064 + 15601106555065.

It is an arithmetic number, because the mean of its divisors is an integer number (15601106555065).

Almost surely, 2^{31202213110129} is an apocalyptic number.

It is an amenable number.

31202213110129 is a deficient number, since it is larger than the sum of its proper divisors (1).

31202213110129 is an equidigital number, since it uses as much as digits as its factorization.

31202213110129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 28.

The spelling of 31202213110129 in words is "thirty-one trillion, two hundred two billion, two hundred thirteen million, one hundred ten thousand, one hundred twenty-nine".