31312008001 has 16 divisors (see below), whose sum is σ = 32031590400. Its totient is φ = 30600673488.

The previous prime is 31312007983. The next prime is 31312008029. The reversal of 31312008001 is 10080021313.

It is a cyclic number.

It is not a de Polignac number, because 31312008001 - 2¹³ = 31311999809 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 31312008001.

It is not an unprimeable number, because it can be changed into a prime (31312008031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5549940 + ... + 5555578.

It is an arithmetic number, because the mean of its divisors is an integer number (2001974400).

Almost surely, 2^31312008001 is an apocalyptic number.

It is an amenable number.

31312008001 is a deficient number, since it is larger than the sum of its proper divisors (719582399).

31312008001 is a wasteful number, since it uses less digits than its factorization.

31312008001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6348.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 31312008001 its reverse (10080021313), we get a palindrome (41392029314).

The spelling of 31312008001 in words is "thirty-one billion, three hundred twelve million, eight thousand, one".