123133122311310 has 128 divisors (see below), whose sum is σ = 337763905920000. Its totient is φ = 31897420894080.

The previous prime is 123133122311261. The next prime is 123133122311327. The reversal of 123133122311310 is 13113221331321.

123133122311310 is a `hidden beast` number, since 1 + 2 + 3 + 1 + 3 + 31 + 2 + 2 + 311 + 310 = 666.

It is a super-2 number, since 2×123133122311310² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3463060 + ... + 16070439.

It is an arithmetic number, because the mean of its divisors is an integer number (2638780515000).

Almost surely, 2^{123133122311310} is an apocalyptic number.

123133122311310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

123133122311310 is an abundant number, since it is smaller than the sum of its proper divisors (214630783608690).

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

123133122311310 is a wasteful number, since it uses less digits than its factorization.

123133122311310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19534183 (or 19534177 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 123133122311310 its reverse (13113221331321), we get a palindrome (136246343642631).

The spelling of 123133122311310 in words is "one hundred twenty-three trillion, one hundred thirty-three billion, one hundred twenty-two million, three hundred eleven thousand, three hundred ten".