113331210003121 has 16 divisors (see below), whose sum is σ = 124077539873088. Its totient is φ = 102658834440000.

The previous prime is 113331210003107. The next prime is 113331210003149. The reversal of 113331210003121 is 121300012133311.

It is a cyclic number.

It is not a de Polignac number, because 113331210003121 - 2²¹ = 113331207905969 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 113331210003092 and 113331210003101.

It is not an unprimeable number, because it can be changed into a prime (113331210003191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57926371 + ... + 59850871.

It is an arithmetic number, because the mean of its divisors is an integer number (7754846242068).

Almost surely, 2^{113331210003121} is an apocalyptic number.

113331210003121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

113331210003121 is a deficient number, since it is larger than the sum of its proper divisors (10746329869967).

113331210003121 is a wasteful number, since it uses less digits than its factorization.

113331210003121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1943712.

The product of its (nonzero) digits is 324, while the sum is 22.

Adding to 113331210003121 its reverse (121300012133311), we get a palindrome (234631222136432).

The spelling of 113331210003121 in words is "one hundred thirteen trillion, three hundred thirty-one billion, two hundred ten million, three thousand, one hundred twenty-one".