31350242000000 has 1792 divisors, whose sum is σ = 104099867504640. Its totient is φ = 9115392000000.

The previous prime is 31350241999987. The next prime is 31350242000087. The reversal of 31350242000000 is 24205313.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 187725999917 + ... + 187726000083.

It is an arithmetic number, because the mean of its divisors is an integer number (58091443920).

Almost surely, 2^{31350242000000} 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 31350242000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52049933752320).

31350242000000 is an abundant number, since it is smaller than the sum of its proper divisors (72749625504640).

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

31350242000000 is an equidigital number, since it uses as much as digits as its factorization.

31350242000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

Adding to 31350242000000 its reverse (24205313), we get a palindrome (31350266205313).

The spelling of 31350242000000 in words is "thirty-one trillion, three hundred fifty billion, two hundred forty-two million", and thus it is an aban number.