113312321441 has 32 divisors (see below), whose sum is σ = 136181865600. Its totient is φ = 93066695680.

The previous prime is 113312321431. The next prime is 113312321489. The reversal of 113312321441 is 144123213311.

It is a cyclic number.

It is not a de Polignac number, because 113312321441 - 2¹⁸ = 113312059297 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 113312321441.

It is not an unprimeable number, because it can be changed into a prime (113312321411) 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 31 ways as a sum of consecutive naturals, for example, 877790 + ... + 998568.

It is an arithmetic number, because the mean of its divisors is an integer number (4255683300).

Almost surely, 2^113312321441 is an apocalyptic number.

113312321441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

113312321441 is a deficient number, since it is larger than the sum of its proper divisors (22869544159).

113312321441 is a wasteful number, since it uses less digits than its factorization.

113312321441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121009.

The product of its digits is 1728, while the sum is 26.

Adding to 113312321441 its reverse (144123213311), we get a palindrome (257435534752).

The spelling of 113312321441 in words is "one hundred thirteen billion, three hundred twelve million, three hundred twenty-one thousand, four hundred forty-one".