31121234001 has 36 divisors (see below), whose sum is σ = 53211904564. Its totient is φ = 17410472640.

The previous prime is 31121233973. The next prime is 31121234003. The reversal of 31121234001 is 10043212113.

31121234001 is a `hidden beast` number, since 311 + 2 + 12 + 340 + 0 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10277093376 + 20844140625 = 101376^2 + 144375^2 .

It is not a de Polignac number, because 31121234001 - 2⁹ = 31121233489 is a prime.

It is not an unprimeable number, because it can be changed into a prime (31121234003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1084990 + ... + 1113303.

Almost surely, 2^31121234001 is an apocalyptic number.

It is an amenable number.

31121234001 is a deficient number, since it is larger than the sum of its proper divisors (22090670563).

31121234001 is a wasteful number, since it uses less digits than its factorization.

31121234001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2198334 (or 2198320 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 31121234001 its reverse (10043212113), we get a palindrome (41164446114).

The spelling of 31121234001 in words is "thirty-one billion, one hundred twenty-one million, two hundred thirty-four thousand, one".