31143112000 has 448 divisors, whose sum is σ = 103580305920. Its totient is φ = 8957952000.

The previous prime is 31143111991. The next prime is 31143112003. The reversal of 31143112000 is 21134113.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31143112003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8006056 + ... + 8009944.

It is an arithmetic number, because the mean of its divisors is an integer number (231206040).

Almost surely, 2^31143112000 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 31143112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51790152960).

31143112000 is an abundant number, since it is smaller than the sum of its proper divisors (72437193920).

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

31143112000 is a wasteful number, since it uses less digits than its factorization.

31143112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3947 (or 3927 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 31143112000 its reverse (21134113), we get a palindrome (31164246113).

The spelling of 31143112000 in words is "thirty-one billion, one hundred forty-three million, one hundred twelve thousand".