113123003301 has 128 divisors (see below), whose sum is σ = 223672320000. Its totient is φ = 54727565760.

The previous prime is 113123003269. The next prime is 113123003369. The reversal of 113123003301 is 103300321311.

It is a happy number.

113123003301 is a `hidden beast` number, since 1 + 1 + 31 + 2 + 300 + 330 + 1 = 666.

It is not a de Polignac number, because 113123003301 - 2⁵ = 113123003269 is a prime.

It is a super-3 number, since 3×113123003301³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113123003101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2306290 + ... + 2354828.

It is an arithmetic number, because the mean of its divisors is an integer number (1747440000).

Almost surely, 2^113123003301 is an apocalyptic number.

113123003301 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

113123003301 is a deficient number, since it is larger than the sum of its proper divisors (110549316699).

113123003301 is a wasteful number, since it uses less digits than its factorization.

113123003301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48644 (or 48638 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 113123003301 its reverse (103300321311), we get a palindrome (216423324612).

The spelling of 113123003301 in words is "one hundred thirteen billion, one hundred twenty-three million, three thousand, three hundred one".