123133133303310 has 128 divisors (see below), whose sum is σ = 354707878533120. Its totient is φ = 27025362118656.

The previous prime is 123133133303261. The next prime is 123133133303333. The reversal of 123133133303310 is 13303331331321.

123133133303310 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×123133133303310² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 488613942 + ... + 488865881.

It is an arithmetic number, because the mean of its divisors is an integer number (2771155301040).

Almost surely, 2^{123133133303310} is an apocalyptic number.

123133133303310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

123133133303310 is an abundant number, since it is smaller than the sum of its proper divisors (231574745229810).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

123133133303310 is a wasteful number, since it uses less digits than its factorization.

123133133303310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 977479882.

The product of its (nonzero) digits is 13122, while the sum is 30.

Adding to 123133133303310 its reverse (13303331331321), we get a palindrome (136436464634631).

The spelling of 123133133303310 in words is "one hundred twenty-three trillion, one hundred thirty-three billion, one hundred thirty-three million, three hundred three thousand, three hundred ten".