312332551101 has 40 divisors (see below), whose sum is σ = 486931234680. Its totient is φ = 199262343168.

The previous prime is 312332551039. The next prime is 312332551129. The reversal of 312332551101 is 101155233213.

312332551101 is a `hidden beast` number, since 3 + 1 + 2 + 3 + 3 + 2 + 551 + 101 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6109767225 + 306222783876 = 78165^2 + 553374^2 .

It is not a de Polignac number, because 312332551101 - 2¹⁰ = 312332550077 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312332551501) 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 39 ways as a sum of consecutive naturals, for example, 322900 + ... + 853773.

It is an arithmetic number, because the mean of its divisors is an integer number (12173280867).

Almost surely, 2^312332551101 is an apocalyptic number.

It is an amenable number.

312332551101 is a deficient number, since it is larger than the sum of its proper divisors (174598683579).

312332551101 is a wasteful number, since it uses less digits than its factorization.

312332551101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1176827 (or 1176818 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

Adding to 312332551101 its reverse (101155233213), we get a palindrome (413487784314).

The spelling of 312332551101 in words is "three hundred twelve billion, three hundred thirty-two million, five hundred fifty-one thousand, one hundred one".