102303121123233 has 12 divisors (see below), whose sum is σ = 147776314660260. Its totient is φ = 68199708577536.

The previous prime is 102303121123199. The next prime is 102303121123237. The reversal of 102303121123233 is 332321121303201.

102303121123233 is a `hidden beast` number, since 1 + 0 + 2 + 3 + 0 + 312 + 112 + 3 + 233 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 57220934060304 + 45082187062929 = 7564452^2 + 6714327^2 .

It is not a de Polignac number, because 102303121123233 - 2¹⁷ = 102303120992161 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102303121123197 and 102303121123206.

It is not an unprimeable number, because it can be changed into a prime (102303121123237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 197407788 + ... + 197925341.

It is an arithmetic number, because the mean of its divisors is an integer number (12314692888355).

Almost surely, 2^{102303121123233} is an apocalyptic number.

It is an amenable number.

102303121123233 is a deficient number, since it is larger than the sum of its proper divisors (45473193537027).

102303121123233 is a wasteful number, since it uses less digits than its factorization.

102303121123233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395361888 (or 395361885 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 102303121123233 its reverse (332321121303201), we get a palindrome (434624242426434).

The spelling of 102303121123233 in words is "one hundred two trillion, three hundred three billion, one hundred twenty-one million, one hundred twenty-three thousand, two hundred thirty-three".