31012344323201 has 2 divisors, whose sum is σ = 31012344323202. Its totient is φ = 31012344323200.

The previous prime is 31012344323161. The next prime is 31012344323221. The reversal of 31012344323201 is 10232344321013.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20123657683600 + 10888686639601 = 4485940^2 + 3299801^2 .

It is an emirp because it is prime and its reverse (10232344321013) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 31012344323201 - 2⁶ = 31012344323137 is a prime.

It is not a weakly prime, because it can be changed into another prime (31012344323221) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15506172161600 + 15506172161601.

It is an arithmetic number, because the mean of its divisors is an integer number (15506172161601).

Almost surely, 2^{31012344323201} is an apocalyptic number.

It is an amenable number.

31012344323201 is a deficient number, since it is larger than the sum of its proper divisors (1).

31012344323201 is an equidigital number, since it uses as much as digits as its factorization.

31012344323201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10368, while the sum is 29.

Adding to 31012344323201 its reverse (10232344321013), we get a palindrome (41244688644214).

The spelling of 31012344323201 in words is "thirty-one trillion, twelve billion, three hundred forty-four million, three hundred twenty-three thousand, two hundred one".