131311222021193 has 2 divisors, whose sum is σ = 131311222021194. Its totient is φ = 131311222021192.

The previous prime is 131311222021163. The next prime is 131311222021223. The reversal of 131311222021193 is 391120222113131.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (131311222021163) and next prime (131311222021223).

It can be written as a sum of positive squares in only one way, i.e., 104328308659129 + 26982913362064 = 10214123^2 + 5194508^2 .

It is a cyclic number.

It is not a de Polignac number, because 131311222021193 - 2¹⁰ = 131311222020169 is a prime.

It is a super-2 number, since 2×131311222021193² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (131311222021123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65655611010596 + 65655611010597.

It is an arithmetic number, because the mean of its divisors is an integer number (65655611010597).

Almost surely, 2^{131311222021193} is an apocalyptic number.

It is an amenable number.

131311222021193 is a deficient number, since it is larger than the sum of its proper divisors (1).

131311222021193 is an equidigital number, since it uses as much as digits as its factorization.

131311222021193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3888, while the sum is 32.

The spelling of 131311222021193 in words is "one hundred thirty-one trillion, three hundred eleven billion, two hundred twenty-two million, twenty-one thousand, one hundred ninety-three".