311431010423199 has 32 divisors (see below), whose sum is σ = 419771188615680. Its totient is φ = 205366588876800.

The previous prime is 311431010423177. The next prime is 311431010423201. The reversal of 311431010423199 is 991324010134113.

It is a happy number.

It is not a de Polignac number, because 311431010423199 - 2¹⁵ = 311431010390431 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 311431010423199.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311431010423149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 304378279 + ... + 305399735.

It is an arithmetic number, because the mean of its divisors is an integer number (13117849644240).

Almost surely, 2^{311431010423199} is an apocalyptic number.

311431010423199 is a deficient number, since it is larger than the sum of its proper divisors (108340178192481).

311431010423199 is a wasteful number, since it uses less digits than its factorization.

311431010423199 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1024111.

The product of its (nonzero) digits is 69984, while the sum is 42.

The spelling of 311431010423199 in words is "three hundred eleven trillion, four hundred thirty-one billion, ten million, four hundred twenty-three thousand, one hundred ninety-nine".