31234144401 has 20 divisors (see below), whose sum is σ = 46682019252. Its totient is φ = 20812228128.

The previous prime is 31234144379. The next prime is 31234144471. The reversal of 31234144401 is 10444143213.

31234144401 is a `hidden beast` number, since 312 + 341 + 4 + 4 + 4 + 0 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 871430400 + 30362714001 = 29520^2 + 174249^2 .

It is not a de Polignac number, because 31234144401 - 2²³ = 31225755793 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 (31234144471) 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 19 ways as a sum of consecutive naturals, for example, 65211 + ... + 258303.

Almost surely, 2^31234144401 is an apocalyptic number.

It is an amenable number.

31234144401 is a deficient number, since it is larger than the sum of its proper divisors (15447874851).

31234144401 is a wasteful number, since it uses less digits than its factorization.

31234144401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195102 (or 195093 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 31234144401 its reverse (10444143213), we get a palindrome (41678287614).

The spelling of 31234144401 in words is "thirty-one billion, two hundred thirty-four million, one hundred forty-four thousand, four hundred one".