101213403141073 has 2 divisors, whose sum is σ = 101213403141074. Its totient is φ = 101213403141072.

The previous prime is 101213403140933. The next prime is 101213403141079. The reversal of 101213403141073 is 370141304312101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 101155981562689 + 57421578384 = 10057633^2 + 239628^2 .

It is a cyclic number.

It is not a de Polignac number, because 101213403141073 - 2²⁹ = 101212866270161 is a prime.

It is not a weakly prime, because it can be changed into another prime (101213403141079) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50606701570536 + 50606701570537.

It is an arithmetic number, because the mean of its divisors is an integer number (50606701570537).

Almost surely, 2^{101213403141073} is an apocalyptic number.

It is an amenable number.

101213403141073 is a deficient number, since it is larger than the sum of its proper divisors (1).

101213403141073 is an equidigital number, since it uses as much as digits as its factorization.

101213403141073 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6048, while the sum is 31.

Adding to 101213403141073 its reverse (370141304312101), we get a palindrome (471354707453174).

The spelling of 101213403141073 in words is "one hundred one trillion, two hundred thirteen billion, four hundred three million, one hundred forty-one thousand, seventy-three".