31444540101 has 12 divisors (see below), whose sum is σ = 48913729228. Its totient is φ = 19350486144.

The previous prime is 31444540097. The next prime is 31444540109. The reversal of 31444540101 is 10104544413.

31444540101 is a `hidden beast` number, since 3 + 14 + 4 + 4 + 540 + 101 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9049716900 + 22394823201 = 95130^2 + 149649^2 .

It is not a de Polignac number, because 31444540101 - 2² = 31444540097 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31444540109) 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 11 ways as a sum of consecutive naturals, for example, 134378260 + ... + 134378493.

Almost surely, 2^31444540101 is an apocalyptic number.

It is an amenable number.

31444540101 is a deficient number, since it is larger than the sum of its proper divisors (17469189127).

31444540101 is a wasteful number, since it uses less digits than its factorization.

31444540101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268756772 (or 268756769 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The spelling of 31444540101 in words is "thirty-one billion, four hundred forty-four million, five hundred forty thousand, one hundred one".