31213114400777 has 2 divisors, whose sum is σ = 31213114400778. Its totient is φ = 31213114400776.

The previous prime is 31213114400761. The next prime is 31213114400789. The reversal of 31213114400777 is 77700441131213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 29863372338121 + 1349742062656 = 5464739^2 + 1161784^2 .

It is a cyclic number.

It is not a de Polignac number, because 31213114400777 - 2⁴ = 31213114400761 is a prime.

It is not a weakly prime, because it can be changed into another prime (31213114480777) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15606557200388 + 15606557200389.

It is an arithmetic number, because the mean of its divisors is an integer number (15606557200389).

Almost surely, 2^{31213114400777} is an apocalyptic number.

It is an amenable number.

31213114400777 is a deficient number, since it is larger than the sum of its proper divisors (1).

31213114400777 is an equidigital number, since it uses as much as digits as its factorization.

31213114400777 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 98784, while the sum is 41.

The spelling of 31213114400777 in words is "thirty-one trillion, two hundred thirteen billion, one hundred fourteen million, four hundred thousand, seven hundred seventy-seven".