311431042100113 has 8 divisors (see below), whose sum is σ = 335389043991848. Its totient is φ = 287473292763264.

The previous prime is 311431042100111. The next prime is 311431042100149. The reversal of 311431042100113 is 311001240134113.

It can be written as a sum of positive squares in 4 ways, for example, as 58595855872849 + 252835186227264 = 7654793^2 + 15900792^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 311431042100113 - 2¹ = 311431042100111 is a prime.

It is a super-2 number, since 2×311431042100113² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (311431042100111) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60573756 + ... + 65513677.

It is an arithmetic number, because the mean of its divisors is an integer number (41923630498981).

Almost surely, 2^{311431042100113} is an apocalyptic number.

It is an amenable number.

311431042100113 is a deficient number, since it is larger than the sum of its proper divisors (23958001891735).

311431042100113 is a wasteful number, since it uses less digits than its factorization.

311431042100113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126277443.

The product of its (nonzero) digits is 864, while the sum is 25.

Adding to 311431042100113 its reverse (311001240134113), we get a palindrome (622432282234226).

The spelling of 311431042100113 in words is "three hundred eleven trillion, four hundred thirty-one billion, forty-two million, one hundred thousand, one hundred thirteen".