102001133133 has 12 divisors (see below), whose sum is σ = 147376437468. Its totient is φ = 67981616640.

The previous prime is 102001133119. The next prime is 102001133141. The reversal of 102001133133 is 331331100201.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 68637188169 + 33363944964 = 261987^2 + 182658^2 .

It is a de Polignac number, because none of the positive numbers 2^k-102001133133 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102001133933) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1561108 + ... + 1625133.

It is an arithmetic number, because the mean of its divisors is an integer number (12281369789).

Almost surely, 2^102001133133 is an apocalyptic number.

It is an amenable number.

102001133133 is a deficient number, since it is larger than the sum of its proper divisors (45375304335).

102001133133 is a wasteful number, since it uses less digits than its factorization.

102001133133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3189804 (or 3189801 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 102001133133 its reverse (331331100201), we get a palindrome (433332233334).

The spelling of 102001133133 in words is "one hundred two billion, one million, one hundred thirty-three thousand, one hundred thirty-three".