103311101333331 has 48 divisors (see below), whose sum is σ = 160802240376960. Its totient is φ = 63683879996160.

The previous prime is 103311101333303. The next prime is 103311101333381. The reversal of 103311101333331 is 133333101113301.

103311101333331 is a `hidden beast` number, since 1 + 0 + 3 + 311 + 1 + 0 + 13 + 3 + 3 + 331 = 666.

It is not a de Polignac number, because 103311101333331 - 2¹⁷ = 103311101202259 is a prime.

It is a super-2 number, since 2×103311101333331² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 103311101333295 and 103311101333304.

It is not an unprimeable number, because it can be changed into a prime (103311101333381) 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, 20451385 + ... + 24997626.

It is an arithmetic number, because the mean of its divisors is an integer number (3350046674520).

Almost surely, 2^{103311101333331} is an apocalyptic number.

103311101333331 is a deficient number, since it is larger than the sum of its proper divisors (57491139043629).

103311101333331 is a wasteful number, since it uses less digits than its factorization.

103311101333331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45449296 (or 45449293 counting only the distinct ones).

The product of its (nonzero) digits is 2187, while the sum is 27.

Adding to 103311101333331 its reverse (133333101113301), we get a palindrome (236644202446632).

The spelling of 103311101333331 in words is "one hundred three trillion, three hundred eleven billion, one hundred one million, three hundred thirty-three thousand, three hundred thirty-one".