123133211323031 has 64 divisors (see below), whose sum is σ = 153500728340736. Its totient is φ = 96176283033600.

The previous prime is 123133211323021. The next prime is 123133211323039. The reversal of 123133211323031 is 130323112331321.

It is a de Polignac number, because none of the positive numbers 2^k-123133211323031 is a prime.

It is a super-2 number, since 2×123133211323031² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 123133211322985 and 123133211323003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123133211323039) by changing a digit.

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, 9174660701 + ... + 9174674121.

It is an arithmetic number, because the mean of its divisors is an integer number (2398448880324).

Almost surely, 2^{123133211323031} is an apocalyptic number.

123133211323031 is a deficient number, since it is larger than the sum of its proper divisors (30367517017705).

123133211323031 is a wasteful number, since it uses less digits than its factorization.

123133211323031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17052.

The product of its (nonzero) digits is 5832, while the sum is 29.

Adding to 123133211323031 its reverse (130323112331321), we get a palindrome (253456323654352).

The spelling of 123133211323031 in words is "one hundred twenty-three trillion, one hundred thirty-three billion, two hundred eleven million, three hundred twenty-three thousand, thirty-one".