311013543340521 has 128 divisors (see below), whose sum is σ = 552754431959040. Its totient is φ = 168981912785664.

The previous prime is 311013543340501. The next prime is 311013543340531. The reversal of 311013543340521 is 125043345310113.

311013543340521 is a `hidden beast` number, since 3 + 1 + 1 + 0 + 13 + 54 + 33 + 40 + 521 = 666.

It is not a de Polignac number, because 311013543340521 - 2²³ = 311013534951913 is a prime.

It is a super-2 number, since 2×311013543340521² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (311013543340501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4544489115 + ... + 4544557551.

It is an arithmetic number, because the mean of its divisors is an integer number (4318393999680).

Almost surely, 2^{311013543340521} is an apocalyptic number.

It is an amenable number.

311013543340521 is a deficient number, since it is larger than the sum of its proper divisors (241740888618519).

311013543340521 is a wasteful number, since it uses less digits than its factorization.

311013543340521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74692 (or 74686 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

Adding to 311013543340521 its reverse (125043345310113), we get a palindrome (436056888650634).

The spelling of 311013543340521 in words is "three hundred eleven trillion, thirteen billion, five hundred forty-three million, three hundred forty thousand, five hundred twenty-one".