123200210133013 has 8 divisors (see below), whose sum is σ = 132680041027128. Its totient is φ = 113720792332224.

The previous prime is 123200210132959. The next prime is 123200210133019. The reversal of 123200210133013 is 310331012002321.

It can be written as a sum of positive squares in 4 ways, for example, as 10587852194404 + 112612357938609 = 3253898^2 + 10611897^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 123200210133013 - 2⁹ = 123200210132501 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123200210133019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 102653770 + ... + 103846987.

It is an arithmetic number, because the mean of its divisors is an integer number (16585005128391).

Almost surely, 2^{123200210133013} is an apocalyptic number.

123200210133013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

123200210133013 is a deficient number, since it is larger than the sum of its proper divisors (9479830894115).

123200210133013 is a wasteful number, since it uses less digits than its factorization.

123200210133013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206546663.

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 123200210133013 its reverse (310331012002321), we get a palindrome (433531222135334).

The spelling of 123200210133013 in words is "one hundred twenty-three trillion, two hundred billion, two hundred ten million, one hundred thirty-three thousand, thirteen".