312033133101 has 16 divisors (see below), whose sum is σ = 437953083840. Its totient is φ = 197068227840.

The previous prime is 312033133099. The next prime is 312033133127. The reversal of 312033133101 is 101331330213.

It is not a de Polignac number, because 312033133101 - 2¹ = 312033133099 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312033133201) 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, 4044871 + ... + 4121291.

It is an arithmetic number, because the mean of its divisors is an integer number (27372067740).

Almost surely, 2^312033133101 is an apocalyptic number.

It is an amenable number.

312033133101 is a deficient number, since it is larger than the sum of its proper divisors (125919950739).

312033133101 is a wasteful number, since it uses less digits than its factorization.

312033133101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148076.

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 312033133101 its reverse (101331330213), we get a palindrome (413364463314).

The spelling of 312033133101 in words is "three hundred twelve billion, thirty-three million, one hundred thirty-three thousand, one hundred one".