311313121110329 has 32 divisors (see below), whose sum is σ = 356201736522240. Its totient is φ = 269952488467200.

The previous prime is 311313121110301. The next prime is 311313121110337. The reversal of 311313121110329 is 923011121313113.

It is a cyclic number.

It is not a de Polignac number, because 311313121110329 - 2⁸ = 311313121110073 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 311313121110295 and 311313121110304.

It is not an unprimeable number, because it can be changed into a prime (311313121190329) 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 31 ways as a sum of consecutive naturals, for example, 786958274 + ... + 787353764.

It is an arithmetic number, because the mean of its divisors is an integer number (11131304266320).

Almost surely, 2^{311313121110329} is an apocalyptic number.

It is an amenable number.

311313121110329 is a deficient number, since it is larger than the sum of its proper divisors (44888615411911).

311313121110329 is a wasteful number, since it uses less digits than its factorization.

311313121110329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452001.

The product of its (nonzero) digits is 2916, while the sum is 32.

The spelling of 311313121110329 in words is "three hundred eleven trillion, three hundred thirteen billion, one hundred twenty-one million, one hundred ten thousand, three hundred twenty-nine".