31144111520113 has 2 divisors, whose sum is σ = 31144111520114. Its totient is φ = 31144111520112.

The previous prime is 31144111520101. The next prime is 31144111520117. The reversal of 31144111520113 is 31102511144113.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19668054177424 + 11476057342689 = 4434868^2 + 3387633^2 .

It is a cyclic number.

It is not a de Polignac number, because 31144111520113 - 2¹³ = 31144111511921 is a prime.

It is not a weakly prime, because it can be changed into another prime (31144111520117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15572055760056 + 15572055760057.

It is an arithmetic number, because the mean of its divisors is an integer number (15572055760057).

Almost surely, 2^{31144111520113} is an apocalyptic number.

It is an amenable number.

31144111520113 is a deficient number, since it is larger than the sum of its proper divisors (1).

31144111520113 is an equidigital number, since it uses as much as digits as its factorization.

31144111520113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1440, while the sum is 28.

Adding to 31144111520113 its reverse (31102511144113), we get a palindrome (62246622664226).

The spelling of 31144111520113 in words is "thirty-one trillion, one hundred forty-four billion, one hundred eleven million, five hundred twenty thousand, one hundred thirteen".