31111011023249 has 2 divisors, whose sum is σ = 31111011023250. Its totient is φ = 31111011023248.

The previous prime is 31111011023129. The next prime is 31111011023263. The reversal of 31111011023249 is 94232011011113.

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., 29802515252224 + 1308495771025 = 5459168^2 + 1143895^2 .

It is a cyclic number.

It is not a de Polignac number, because 31111011023249 - 2²⁰ = 31111009974673 is a prime.

It is not a weakly prime, because it can be changed into another prime (31111011623249) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15555505511624 + 15555505511625.

It is an arithmetic number, because the mean of its divisors is an integer number (15555505511625).

Almost surely, 2^{31111011023249} is an apocalyptic number.

It is an amenable number.

31111011023249 is a deficient number, since it is larger than the sum of its proper divisors (1).

31111011023249 is an equidigital number, since it uses as much as digits as its factorization.

31111011023249 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 31111011023249 in words is "thirty-one trillion, one hundred eleven billion, eleven million, twenty-three thousand, two hundred forty-nine".