311440042421313 has 32 divisors (see below), whose sum is σ = 449735034470400. Its totient is φ = 190567429413696.

The previous prime is 311440042421297. The next prime is 311440042421327. The reversal of 311440042421313 is 313124240044113.

It is a happy number.

It is not a de Polignac number, because 311440042421313 - 2⁴ = 311440042421297 is a prime.

It is a super-3 number, since 3×311440042421313³ (a number of 44 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (311440042421213) 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, 75185856 + ... + 79219902.

It is an arithmetic number, because the mean of its divisors is an integer number (14054219827200).

Almost surely, 2^{311440042421313} is an apocalyptic number.

It is an amenable number.

311440042421313 is a deficient number, since it is larger than the sum of its proper divisors (138294992049087).

311440042421313 is a wasteful number, since it uses less digits than its factorization.

311440042421313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4045301.

The product of its (nonzero) digits is 27648, while the sum is 33.

Adding to 311440042421313 its reverse (313124240044113), we get a palindrome (624564282465426).

The spelling of 311440042421313 in words is "three hundred eleven trillion, four hundred forty billion, forty-two million, four hundred twenty-one thousand, three hundred thirteen".