123313132129 has 36 divisors (see below), whose sum is σ = 139288340016. Its totient is φ = 108264600000.

The previous prime is 123313132099. The next prime is 123313132141. The reversal of 123313132129 is 921231313321.

It is a happy number.

It is not a de Polignac number, because 123313132129 - 2¹⁷ = 123313001057 is a prime.

It is a super-3 number, since 3×123313132129³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 123313132129.

It is not an unprimeable number, because it can be changed into a prime (123313132529) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 491287254 + ... + 491287504.

It is an arithmetic number, because the mean of its divisors is an integer number (3869120556).

Almost surely, 2^123313132129 is an apocalyptic number.

It is an amenable number.

123313132129 is a deficient number, since it is larger than the sum of its proper divisors (15975207887).

123313132129 is an equidigital number, since it uses as much as digits as its factorization.

123313132129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670 (or 466 counting only the distinct ones).

The product of its digits is 5832, while the sum is 31.

The spelling of 123313132129 in words is "one hundred twenty-three billion, three hundred thirteen million, one hundred thirty-two thousand, one hundred twenty-nine".