311132130101 has 16 divisors (see below), whose sum is σ = 338929138800. Its totient is φ = 283894253568.

The previous prime is 311132130059. The next prime is 311132130107. The reversal of 311132130101 is 101031231113.

It can be written as a sum of positive squares in 8 ways, for example, as 31290072100 + 279842058001 = 176890^2 + 529001^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-311132130101 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 311132130101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311132130107) 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 15 ways as a sum of consecutive naturals, for example, 896555 + ... + 1194183.

It is an arithmetic number, because the mean of its divisors is an integer number (21183071175).

Almost surely, 2^311132130101 is an apocalyptic number.

It is an amenable number.

311132130101 is a deficient number, since it is larger than the sum of its proper divisors (27797008699).

311132130101 is a wasteful number, since it uses less digits than its factorization.

311132130101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298568.

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 311132130101 its reverse (101031231113), we get a palindrome (412163361214).

The spelling of 311132130101 in words is "three hundred eleven billion, one hundred thirty-two million, one hundred thirty thousand, one hundred one".