31130002120000 has 280 divisors, whose sum is σ = 88282206650880. Its totient is φ = 10665588480000.

The previous prime is 31130002119917. The next prime is 31130002120057. The reversal of 31130002120000 is 2120003113.

It is a tau number, because it is divible by the number of its divisors (280).

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 402881370 + ... + 402958630.

Almost surely, 2^{31130002120000} 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 31130002120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44141103325440).

31130002120000 is an abundant number, since it is smaller than the sum of its proper divisors (57152204530880).

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

31130002120000 is an equidigital number, since it uses as much as digits as its factorization.

31130002120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78739 (or 78714 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 31130002120000 its reverse (2120003113), we get a palindrome (31132122123113).

The spelling of 31130002120000 in words is "thirty-one trillion, one hundred thirty billion, two million, one hundred twenty thousand".