31133940500 has 108 divisors (see below), whose sum is σ = 73750874652. Its totient is φ = 11476670400.

The previous prime is 31133940473. The next prime is 31133940557. The reversal of 31133940500 is 504933113.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 6 ways, for example, as 21935979664 + 9197960836 = 148108^2 + 95906^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 51291197 + ... + 51291803.

It is an arithmetic number, because the mean of its divisors is an integer number (682878469).

Almost surely, 2^31133940500 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 31133940500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36875437326).

31133940500 is an abundant number, since it is smaller than the sum of its proper divisors (42616934152).

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

31133940500 is an equidigital number, since it uses as much as digits as its factorization.

31133940500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1259 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 29.

The spelling of 31133940500 in words is "thirty-one billion, one hundred thirty-three million, nine hundred forty thousand, five hundred".