113312212113113 has 16 divisors (see below), whose sum is σ = 122327623756800. Its totient is φ = 104339631320064.

The previous prime is 113312212113053. The next prime is 113312212113119. The reversal of 113312212113113 is 311311212213311.

It is a cyclic number.

It is not a de Polignac number, because 113312212113113 - 2⁶ = 113312212113049 is a prime.

It is a super-2 number, since 2×113312212113113² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (113312212113119) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24002120 + ... + 28332422.

It is an arithmetic number, because the mean of its divisors is an integer number (7645476484800).

Almost surely, 2^{113312212113113} is an apocalyptic number.

113312212113113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

113312212113113 is a deficient number, since it is larger than the sum of its proper divisors (9015411643687).

113312212113113 is a wasteful number, since it uses less digits than its factorization.

113312212113113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4335248.

The product of its digits is 648, while the sum is 26.

Adding to 113312212113113 its reverse (311311212213311), we get a palindrome (424623424326424).

The spelling of 113312212113113 in words is "one hundred thirteen trillion, three hundred twelve billion, two hundred twelve million, one hundred thirteen thousand, one hundred thirteen".