31212101123129 has 2 divisors, whose sum is σ = 31212101123130. Its totient is φ = 31212101123128.

The previous prime is 31212101123101. The next prime is 31212101123143. The reversal of 31212101123129 is 92132110121213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 26443454982400 + 4768646140729 = 5142320^2 + 2183723^2 .

It is a cyclic number.

It is not a de Polignac number, because 31212101123129 - 2¹⁶ = 31212101057593 is a prime.

It is not a weakly prime, because it can be changed into another prime (31212101123029) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15606050561564 + 15606050561565.

It is an arithmetic number, because the mean of its divisors is an integer number (15606050561565).

Almost surely, 2^{31212101123129} is an apocalyptic number.

It is an amenable number.

31212101123129 is a deficient number, since it is larger than the sum of its proper divisors (1).

31212101123129 is an equidigital number, since it uses as much as digits as its factorization.

31212101123129 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 29.

The spelling of 31212101123129 in words is "thirty-one trillion, two hundred twelve billion, one hundred one million, one hundred twenty-three thousand, one hundred twenty-nine".