101302312313 has 2 divisors, whose sum is σ = 101302312314. Its totient is φ = 101302312312.

The previous prime is 101302312297. The next prime is 101302312339. The reversal of 101302312313 is 313213203101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 59062608784 + 42239703529 = 243028^2 + 205523^2 .

It is a cyclic number.

It is not a de Polignac number, because 101302312313 - 2⁴ = 101302312297 is a prime.

It is not a weakly prime, because it can be changed into another prime (101302312373) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50651156156 + 50651156157.

It is an arithmetic number, because the mean of its divisors is an integer number (50651156157).

Almost surely, 2^101302312313 is an apocalyptic number.

It is an amenable number.

101302312313 is a deficient number, since it is larger than the sum of its proper divisors (1).

101302312313 is an equidigital number, since it uses as much as digits as its factorization.

101302312313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 101302312313 its reverse (313213203101), we get a palindrome (414515515414).

The spelling of 101302312313 in words is "one hundred one billion, three hundred two million, three hundred twelve thousand, three hundred thirteen".