113003311322121 has 64 divisors (see below), whose sum is σ = 165993563215872. Its totient is φ = 67813257600000.

The previous prime is 113003311322119. The next prime is 113003311322123. The reversal of 113003311322121 is 121223113300311.

It is an interprime number because it is at equal distance from previous prime (113003311322119) and next prime (113003311322123).

It is not a de Polignac number, because 113003311322121 - 2¹ = 113003311322119 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 113003311322091 and 113003311322100.

It is not an unprimeable number, because it can be changed into a prime (113003311322123) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2190767551 + ... + 2190819131.

It is an arithmetic number, because the mean of its divisors is an integer number (2593649425248).

Almost surely, 2^{113003311322121} is an apocalyptic number.

113003311322121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

113003311322121 is a deficient number, since it is larger than the sum of its proper divisors (52990251893751).

113003311322121 is a wasteful number, since it uses less digits than its factorization.

113003311322121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53294.

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 113003311322121 its reverse (121223113300311), we get a palindrome (234226424622432).

The spelling of 113003311322121 in words is "one hundred thirteen trillion, three billion, three hundred eleven million, three hundred twenty-two thousand, one hundred twenty-one".