103313311102233 has 48 divisors (see below), whose sum is σ = 158177117414160. Its totient is φ = 64754910646272.

The previous prime is 103313311102213. The next prime is 103313311102297. The reversal of 103313311102233 is 332201113313301.

103313311102233 is a `hidden beast` number, since 1 + 0 + 3 + 3 + 13 + 311 + 102 + 233 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 8827387672464 + 94485923429769 = 2971092^2 + 9720387^2 .

It is not a de Polignac number, because 103313311102233 - 2¹⁶ = 103313311036697 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 103313311102197 and 103313311102206.

It is not an unprimeable number, because it can be changed into a prime (103313311102213) 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, 3219570453 + ... + 3219602541.

It is an arithmetic number, because the mean of its divisors is an integer number (3295356612795).

Almost surely, 2^{103313311102233} is an apocalyptic number.

It is an amenable number.

103313311102233 is a deficient number, since it is larger than the sum of its proper divisors (54863806311927).

103313311102233 is a wasteful number, since it uses less digits than its factorization.

103313311102233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53898 (or 53895 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 103313311102233 its reverse (332201113313301), we get a palindrome (435514424415534).

The spelling of 103313311102233 in words is "one hundred three trillion, three hundred thirteen billion, three hundred eleven million, one hundred two thousand, two hundred thirty-three".