101434313249 has 2 divisors, whose sum is σ = 101434313250. Its totient is φ = 101434313248.

The previous prime is 101434313131. The next prime is 101434313257. The reversal of 101434313249 is 942313434101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99583162624 + 1851150625 = 315568^2 + 43025^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101434313249 is a prime.

It is not a weakly prime, because it can be changed into another prime (101434313549) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50717156624 + 50717156625.

It is an arithmetic number, because the mean of its divisors is an integer number (50717156625).

Almost surely, 2^101434313249 is an apocalyptic number.

It is an amenable number.

101434313249 is a deficient number, since it is larger than the sum of its proper divisors (1).

101434313249 is an equidigital number, since it uses as much as digits as its factorization.

101434313249 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 31104, while the sum is 35.

The spelling of 101434313249 in words is "one hundred one billion, four hundred thirty-four million, three hundred thirteen thousand, two hundred forty-nine".