311202141202113 has 64 divisors (see below), whose sum is σ = 486184034918400. Its totient is φ = 173411952924672.

The previous prime is 311202141202093. The next prime is 311202141202151.

311202141202113 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 311202141202113 - 2⁶ = 311202141202049 is a prime.

It is not an unprimeable number, because it can be changed into a prime (311202141202013) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38025631 + ... + 45479147.

It is an arithmetic number, because the mean of its divisors is an integer number (7596625545600).

Almost surely, 2^{311202141202113} is an apocalyptic number.

It is an amenable number.

311202141202113 is a deficient number, since it is larger than the sum of its proper divisors (174981893716287).

311202141202113 is a wasteful number, since it uses less digits than its factorization.

311202141202113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7453926.

The product of its (nonzero) digits is 576, while the sum is 24.

The spelling of 311202141202113 in words is "three hundred eleven trillion, two hundred two billion, one hundred forty-one million, two hundred two thousand, one hundred thirteen".