101003023133 has 2 divisors, whose sum is σ = 101003023134. Its totient is φ = 101003023132.

The previous prime is 101003023111. The next prime is 101003023141. The reversal of 101003023133 is 331320300101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 95967985369 + 5035037764 = 309787^2 + 70958^2 .

It is a cyclic number.

It is not a de Polignac number, because 101003023133 - 2²⁴ = 100986245917 is a prime.

It is a super-3 number, since 3×101003023133³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101003023183) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50501511566 + 50501511567.

It is an arithmetic number, because the mean of its divisors is an integer number (50501511567).

Almost surely, 2^101003023133 is an apocalyptic number.

It is an amenable number.

101003023133 is a deficient number, since it is larger than the sum of its proper divisors (1).

101003023133 is an equidigital number, since it uses as much as digits as its factorization.

101003023133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 101003023133 its reverse (331320300101), we get a palindrome (432323323234).

The spelling of 101003023133 in words is "one hundred one billion, three million, twenty-three thousand, one hundred thirty-three".