31144110311000 has 128 divisors (see below), whose sum is σ = 74063355125760. Its totient is φ = 12255644016000.

The previous prime is 31144110310981. The next prime is 31144110311029. The reversal of 31144110311000 is 11301144113.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32399297 + ... + 33346703.

It is an arithmetic number, because the mean of its divisors is an integer number (578619961920).

Almost surely, 2^{31144110311000} 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 31144110311000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37031677562880).

31144110311000 is an abundant number, since it is smaller than the sum of its proper divisors (42919244814760).

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

31144110311000 is a wasteful number, since it uses less digits than its factorization.

31144110311000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 947962 (or 947948 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 31144110311000 its reverse (11301144113), we get a palindrome (31155411455113).

The spelling of 31144110311000 in words is "thirty-one trillion, one hundred forty-four billion, one hundred ten million, three hundred eleven thousand".