312331211101 has 24 divisors (see below), whose sum is σ = 391412248920. Its totient is φ = 247030664832.

The previous prime is 312331211083. The next prime is 312331211123. The reversal of 312331211101 is 101112133213.

It can be written as a sum of positive squares in 4 ways, for example, as 56371105476 + 255960105625 = 237426^2 + 505925^2 .

It is not a de Polignac number, because 312331211101 - 2¹⁵ = 312331178333 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312331211131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1720755 + ... + 1893583.

It is an arithmetic number, because the mean of its divisors is an integer number (16308843705).

Almost surely, 2^312331211101 is an apocalyptic number.

It is an amenable number.

312331211101 is a deficient number, since it is larger than the sum of its proper divisors (79081037819).

312331211101 is a wasteful number, since it uses less digits than its factorization.

312331211101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175693 (or 175686 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 312331211101 its reverse (101112133213), we get a palindrome (413443344314).

The spelling of 312331211101 in words is "three hundred twelve billion, three hundred thirty-one million, two hundred eleven thousand, one hundred one".