131012224038173 has 2 divisors, whose sum is σ = 131012224038174. Its totient is φ = 131012224038172.

The previous prime is 131012224038139. The next prime is 131012224038211. The reversal of 131012224038173 is 371830422210131.

It is an a-pointer prime, because the next prime (131012224038211) can be obtained adding 131012224038173 to its sum of digits (38).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 120984754480249 + 10027469557924 = 10999307^2 + 3166618^2 .

It is an emirp because it is prime and its reverse (371830422210131) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 131012224038173 - 2²⁶ = 131012156929309 is a prime.

It is a super-2 number, since 2×131012224038173² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (131012224038103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65506112019086 + 65506112019087.

It is an arithmetic number, because the mean of its divisors is an integer number (65506112019087).

Almost surely, 2^{131012224038173} is an apocalyptic number.

It is an amenable number.

131012224038173 is a deficient number, since it is larger than the sum of its proper divisors (1).

131012224038173 is an equidigital number, since it uses as much as digits as its factorization.

131012224038173 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48384, while the sum is 38.

The spelling of 131012224038173 in words is "one hundred thirty-one trillion, twelve billion, two hundred twenty-four million, thirty-eight thousand, one hundred seventy-three".