312021321103107 has 96 divisors (see below), whose sum is σ = 583031134533120. Its totient is φ = 162002440005120.

The previous prime is 312021321103033. The next prime is 312021321103111. The reversal of 312021321103107 is 701301123120213.

312021321103107 is a `hidden beast` number, since 3 + 1 + 2 + 0 + 21 + 321 + 1 + 0 + 310 + 7 = 666.

It is not a de Polignac number, because 312021321103107 - 2¹⁰ = 312021321102083 is a prime.

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 (312021321103117) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30594069 + ... + 39497337.

It is an arithmetic number, because the mean of its divisors is an integer number (6073240984720).

Almost surely, 2^{312021321103107} is an apocalyptic number.

312021321103107 is a deficient number, since it is larger than the sum of its proper divisors (271009813430013).

312021321103107 is a wasteful number, since it uses less digits than its factorization.

312021321103107 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8905175 (or 8905163 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The spelling of 312021321103107 in words is "three hundred twelve trillion, twenty-one billion, three hundred twenty-one million, one hundred three thousand, one hundred seven".