133211331122103 has 48 divisors (see below), whose sum is σ = 218232722897280. Its totient is φ = 77622891458112.

The previous prime is 133211331122059. The next prime is 133211331122143. The reversal of 133211331122103 is 301221133112331.

133211331122103 is a `hidden beast` number, since 1 + 3 + 3 + 211 + 331 + 12 + 2 + 103 = 666.

It is not a de Polignac number, because 133211331122103 - 2¹⁰ = 133211331121079 is a prime.

It is a super-3 number, since 3×133211331122103³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133211331122143) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10505925 + ... + 19411262.

It is an arithmetic number, because the mean of its divisors is an integer number (4546515060360).

Almost surely, 2^{133211331122103} is an apocalyptic number.

133211331122103 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

133211331122103 is a deficient number, since it is larger than the sum of its proper divisors (85021391775177).

133211331122103 is a wasteful number, since it uses less digits than its factorization.

133211331122103 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29919228 (or 29919225 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 133211331122103 its reverse (301221133112331), we get a palindrome (434432464234434).

The spelling of 133211331122103 in words is "one hundred thirty-three trillion, two hundred eleven billion, three hundred thirty-one million, one hundred twenty-two thousand, one hundred three".