110101009313 has 2 divisors, whose sum is σ = 110101009314. Its totient is φ = 110101009312.

The previous prime is 110101009279. The next prime is 110101009321. The reversal of 110101009313 is 313900101011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 106688463424 + 3412545889 = 326632^2 + 58417^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-110101009313 is a prime.

It is not a weakly prime, because it can be changed into another prime (110101009363) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55050504656 + 55050504657.

It is an arithmetic number, because the mean of its divisors is an integer number (55050504657).

Almost surely, 2^110101009313 is an apocalyptic number.

It is an amenable number.

110101009313 is a deficient number, since it is larger than the sum of its proper divisors (1).

110101009313 is an equidigital number, since it uses as much as digits as its factorization.

110101009313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 81, while the sum is 20.

The spelling of 110101009313 in words is "one hundred ten billion, one hundred one million, nine thousand, three hundred thirteen".