31311011110040 has 128 divisors (see below), whose sum is σ = 75431786976000. Its totient is φ = 11661456480768.

The previous prime is 31311011110019. The next prime is 31311011110051. The reversal of 31311011110040 is 4001111011313.

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, 202016414 + ... + 202171346.

It is an arithmetic number, because the mean of its divisors is an integer number (589310835750).

Almost surely, 2^{31311011110040} 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 31311011110040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37715893488000).

31311011110040 is an abundant number, since it is smaller than the sum of its proper divisors (44120775865960).

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

31311011110040 is a wasteful number, since it uses less digits than its factorization.

31311011110040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159529 (or 159525 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 17.

Adding to 31311011110040 its reverse (4001111011313), we get a palindrome (35312122121353).

The spelling of 31311011110040 in words is "thirty-one trillion, three hundred eleven billion, eleven million, one hundred ten thousand, forty".