312133214140011 has 128 divisors (see below), whose sum is σ = 511377463296000. Its totient is φ = 186584513472000.

The previous prime is 312133214139997. The next prime is 312133214140043. The reversal of 312133214140011 is 110041412331213.

312133214140011 is a `hidden beast` number, since 3 + 1 + 2 + 1 + 33 + 214 + 1 + 400 + 11 = 666.

It is not a de Polignac number, because 312133214140011 - 2¹¹ = 312133214137963 is a prime.

It is a super-2 number, since 2×312133214140011² (a number of 30 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (312133214140211) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 63454605010 + ... + 63454609928.

It is an arithmetic number, because the mean of its divisors is an integer number (3995136432000).

Almost surely, 2^{312133214140011} is an apocalyptic number.

312133214140011 is a deficient number, since it is larger than the sum of its proper divisors (199244249155989).

312133214140011 is a wasteful number, since it uses less digits than its factorization.

312133214140011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8742 (or 8736 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 312133214140011 its reverse (110041412331213), we get a palindrome (422174626471224).

The spelling of 312133214140011 in words is "three hundred twelve trillion, one hundred thirty-three billion, two hundred fourteen million, one hundred forty thousand, eleven".