102133003122013 has 16 divisors (see below), whose sum is σ = 106680477085056. Its totient is φ = 97594481871040.

The previous prime is 102133003122011. The next prime is 102133003122043. The reversal of 102133003122013 is 310221300331201.

It is a cyclic number.

It is not a de Polignac number, because 102133003122013 - 2¹ = 102133003122011 is a prime.

It is a super-2 number, since 2×102133003122013² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102133003122011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102900831 + ... + 103888627.

It is an arithmetic number, because the mean of its divisors is an integer number (6667529817816).

Almost surely, 2^{102133003122013} is an apocalyptic number.

It is an amenable number.

102133003122013 is a deficient number, since it is larger than the sum of its proper divisors (4547473963043).

102133003122013 is a wasteful number, since it uses less digits than its factorization.

102133003122013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 992324.

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 102133003122013 its reverse (310221300331201), we get a palindrome (412354303453214).

The spelling of 102133003122013 in words is "one hundred two trillion, one hundred thirty-three billion, three million, one hundred twenty-two thousand, thirteen".