31040442001 has 32 divisors (see below), whose sum is σ = 34951059360. Its totient is φ = 27427405824.

The previous prime is 31040441969. The next prime is 31040442031. The reversal of 31040442001 is 10024404013.

It can be written as a sum of positive squares in 16 ways, for example, as 16912742401 + 14127699600 = 130049^2 + 118860^2 .

It is a cyclic number.

It is not a de Polignac number, because 31040442001 - 2⁵ = 31040441969 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 31040442001.

It is not an unprimeable number, because it can be changed into a prime (31040442031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2947321 + ... + 2957833.

It is an arithmetic number, because the mean of its divisors is an integer number (1092220605).

Almost surely, 2^31040442001 is an apocalyptic number.

It is an amenable number.

31040442001 is a deficient number, since it is larger than the sum of its proper divisors (3910617359).

31040442001 is a wasteful number, since it uses less digits than its factorization.

31040442001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10725.

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 31040442001 its reverse (10024404013), we get a palindrome (41064846014).

The spelling of 31040442001 in words is "thirty-one billion, forty million, four hundred forty-two thousand, one".