31131133000 has 128 divisors (see below), whose sum is σ = 79564343040. Its totient is φ = 11306880000.

The previous prime is 31131132997. The next prime is 31131133009. The reversal of 31131133000 is 33113113.

It is not an unprimeable number, because it can be changed into a prime (31131133009) 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 31 ways as a sum of consecutive naturals, for example, 16620064 + ... + 16621936.

It is an arithmetic number, because the mean of its divisors is an integer number (621596430).

Almost surely, 2^31131133000 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 31131133000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39782171520).

31131133000 is an abundant number, since it is smaller than the sum of its proper divisors (48433210040).

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

31131133000 is a wasteful number, since it uses less digits than its factorization.

31131133000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3416 (or 3402 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 16.

Adding to 31131133000 its reverse (33113113), we get a palindrome (31164246113).

It can be divided in two parts, 3113113 and 3000, that added together give a palindrome (3116113).

The spelling of 31131133000 in words is "thirty-one billion, one hundred thirty-one million, one hundred thirty-three thousand".