123202303032133 has 16 divisors (see below), whose sum is σ = 133854490813680. Its totient is φ = 112717998941184.

The previous prime is 123202303032131. The next prime is 123202303032161. The reversal of 123202303032133 is 331230303202321.

It can be written as a sum of positive squares in 8 ways, for example, as 93024057430404 + 30178245601729 = 9644898^2 + 5493473^2 .

It is not a de Polignac number, because 123202303032133 - 2¹ = 123202303032131 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123202303032131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 369511623 + ... + 369844891.

It is an arithmetic number, because the mean of its divisors is an integer number (8365905675855).

Almost surely, 2^{123202303032133} is an apocalyptic number.

123202303032133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

123202303032133 is a deficient number, since it is larger than the sum of its proper divisors (10652187781547).

123202303032133 is a wasteful number, since it uses less digits than its factorization.

123202303032133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585048.

The product of its (nonzero) digits is 11664, while the sum is 28.

Adding to 123202303032133 its reverse (331230303202321), we get a palindrome (454432606234454).

The spelling of 123202303032133 in words is "one hundred twenty-three trillion, two hundred two billion, three hundred three million, thirty-two thousand, one hundred thirty-three".