31431240011064 has 128 divisors (see below), whose sum is σ = 85119559200000. Its totient is φ = 9638037725184.

The previous prime is 31431240011051. The next prime is 31431240011081. The reversal of 31431240011064 is 46011004213413.

It is a super-3 number, since 3×31431240011064³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6552472 + ... + 10285784.

It is an arithmetic number, because the mean of its divisors is an integer number (664996556250).

Almost surely, 2^{31431240011064} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31431240011064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42559779600000).

31431240011064 is an abundant number, since it is smaller than the sum of its proper divisors (53688319188936).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

31431240011064 is a wasteful number, since it uses less digits than its factorization.

31431240011064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3733877 (or 3733873 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 31431240011064 its reverse (46011004213413), we get a palindrome (77442244224477).

The spelling of 31431240011064 in words is "thirty-one trillion, four hundred thirty-one billion, two hundred forty million, eleven thousand, sixty-four".