102134061133 has 24 divisors (see below), whose sum is σ = 121138497000. Its totient is φ = 85672065024.

The previous prime is 102134061067. The next prime is 102134061149. The reversal of 102134061133 is 331160431201.

It can be written as a sum of positive squares in 12 ways, for example, as 6190857124 + 95943204009 = 78682^2 + 309747^2 .

It is not a de Polignac number, because 102134061133 - 2¹⁷ = 102133930061 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102134061098 and 102134061107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102134061163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 529608 + ... + 696241.

It is an arithmetic number, because the mean of its divisors is an integer number (5047437375).

Almost surely, 2^102134061133 is an apocalyptic number.

102134061133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

102134061133 is a deficient number, since it is larger than the sum of its proper divisors (19004435867).

102134061133 is a wasteful number, since it uses less digits than its factorization.

102134061133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1225921 (or 1225908 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

Adding to 102134061133 its reverse (331160431201), we get a palindrome (433294492334).

The spelling of 102134061133 in words is "one hundred two billion, one hundred thirty-four million, sixty-one thousand, one hundred thirty-three".