113202123329 has 12 divisors (see below), whose sum is σ = 119694754260. Its totient is φ = 107045699040.

The previous prime is 113202123311. The next prime is 113202123347. The reversal of 113202123329 is 923321202311.

It is an interprime number because it is at equal distance from previous prime (113202123311) and next prime (113202123347).

It can be written as a sum of positive squares in 2 ways, for example, as 79876890625 + 33325232704 = 282625^2 + 182552^2 .

It is not a de Polignac number, because 113202123329 - 2²⁸ = 112933687873 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (113202123379) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 94514 + ... + 485115.

It is an arithmetic number, because the mean of its divisors is an integer number (9974562855).

Almost surely, 2^113202123329 is an apocalyptic number.

113202123329 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

113202123329 is a deficient number, since it is larger than the sum of its proper divisors (6492630931).

113202123329 is an equidigital number, since it uses as much as digits as its factorization.

113202123329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580208 (or 580189 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 29.

The spelling of 113202123329 in words is "one hundred thirteen billion, two hundred two million, one hundred twenty-three thousand, three hundred twenty-nine".