123130133300133 has 48 divisors (see below), whose sum is σ = 179682815572416. Its totient is φ = 81247641995520.

The previous prime is 123130133300131. The next prime is 123130133300137. The reversal of 123130133300133 is 331003331031321.

123130133300133 is a `hidden beast` number, since 1 + 2 + 313 + 0 + 1 + 3 + 330 + 0 + 13 + 3 = 666.

It is not a de Polignac number, because 123130133300133 - 2¹ = 123130133300131 is a prime.

It is a super-2 number, since 2×123130133300133² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 123130133300097 and 123130133300106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123130133300131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 386057298 + ... + 386376108.

It is an arithmetic number, because the mean of its divisors is an integer number (3743391991092).

Almost surely, 2^{123130133300133} is an apocalyptic number.

It is an amenable number.

123130133300133 is a deficient number, since it is larger than the sum of its proper divisors (56552682272283).

123130133300133 is a wasteful number, since it uses less digits than its factorization.

123130133300133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320034 (or 320031 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 27.

Adding to 123130133300133 its reverse (331003331031321), we get a palindrome (454133464331454).

The spelling of 123130133300133 in words is "one hundred twenty-three trillion, one hundred thirty billion, one hundred thirty-three million, three hundred thousand, one hundred thirty-three".