103113101133 has 48 divisors (see below), whose sum is σ = 176621078400. Its totient is φ = 56717781120.

The previous prime is 103113101123. The next prime is 103113101149. The reversal of 103113101133 is 331101311301.

103113101133 is a `hidden beast` number, since 1 + 0 + 311 + 310 + 11 + 33 = 666.

It is not a de Polignac number, because 103113101133 - 2¹² = 103113097037 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103113101123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 519483 + ... + 689991.

It is an arithmetic number, because the mean of its divisors is an integer number (3679605800).

Almost surely, 2^103113101133 is an apocalyptic number.

It is an amenable number.

103113101133 is a deficient number, since it is larger than the sum of its proper divisors (73507977267).

103113101133 is a wasteful number, since it uses less digits than its factorization.

103113101133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170882 (or 170879 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

Adding to 103113101133 its reverse (331101311301), we get a palindrome (434214412434).

The spelling of 103113101133 in words is "one hundred three billion, one hundred thirteen million, one hundred one thousand, one hundred thirty-three".