312001132001 has 8 divisors (see below), whose sum is σ = 336027174504. Its totient is φ = 287978797440.

The previous prime is 312001131977. The next prime is 312001132097. The reversal of 312001132001 is 100231100213.

It can be written as a sum of positive squares in 4 ways, for example, as 33031245025 + 278969886976 = 181745^2 + 528176^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 312001132001 - 2¹⁰ = 312001130977 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (312001132601) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 750980 + ... + 1089941.

It is an arithmetic number, because the mean of its divisors is an integer number (42003396813).

Almost surely, 2^312001132001 is an apocalyptic number.

It is an amenable number.

312001132001 is a deficient number, since it is larger than the sum of its proper divisors (24026042503).

312001132001 is a wasteful number, since it uses less digits than its factorization.

312001132001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1853971.

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 312001132001 its reverse (100231100213), we get a palindrome (412232232214).

The spelling of 312001132001 in words is "three hundred twelve billion, one million, one hundred thirty-two thousand, one".