103313210023233 has 36 divisors (see below), whose sum is σ = 174475494790740. Its totient is φ = 58736444227776.

The previous prime is 103313210023213. The next prime is 103313210023267. The reversal of 103313210023233 is 332320012313301.

103313210023233 is a `hidden beast` number, since 1 + 0 + 3 + 313 + 21 + 0 + 0 + 2 + 323 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 82260419481009 + 21052790542224 = 9069753^2 + 4588332^2 .

It is not a de Polignac number, because 103313210023233 - 2¹⁷ = 103313209892161 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 103313210023197 and 103313210023206.

It is not an unprimeable number, because it can be changed into a prime (103313210023213) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 594507838 + ... + 594681591.

It is an arithmetic number, because the mean of its divisors is an integer number (4846541521965).

Almost surely, 2^{103313210023233} is an apocalyptic number.

It is an amenable number.

103313210023233 is a deficient number, since it is larger than the sum of its proper divisors (71162284767507).

103313210023233 is a wasteful number, since it uses less digits than its factorization.

103313210023233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1189189646 (or 1189189636 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 103313210023233 its reverse (332320012313301), we get a palindrome (435633222336534).

The spelling of 103313210023233 in words is "one hundred three trillion, three hundred thirteen billion, two hundred ten million, twenty-three thousand, two hundred thirty-three".