101302121013133 has 2 divisors, whose sum is σ = 101302121013134. Its totient is φ = 101302121013132.

The previous prime is 101302121013097. The next prime is 101302121013143. The reversal of 101302121013133 is 331310121203101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99214090233129 + 2088030780004 = 9960627^2 + 1445002^2 .

It is a cyclic number.

It is not a de Polignac number, because 101302121013133 - 2²⁹ = 101301584142221 is a prime.

It is a super-3 number, since 3×101302121013133³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101302121013143) 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, 50651060506566 + 50651060506567.

It is an arithmetic number, because the mean of its divisors is an integer number (50651060506567).

Almost surely, 2^{101302121013133} is an apocalyptic number.

It is an amenable number.

101302121013133 is a deficient number, since it is larger than the sum of its proper divisors (1).

101302121013133 is an equidigital number, since it uses as much as digits as its factorization.

101302121013133 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 22.

Adding to 101302121013133 its reverse (331310121203101), we get a palindrome (432612242216234).

The spelling of 101302121013133 in words is "one hundred one trillion, three hundred two billion, one hundred twenty-one million, thirteen thousand, one hundred thirty-three".