31120101130000 has 200 divisors, whose sum is σ = 77804097719040. Its totient is φ = 12042039360000.

The previous prime is 31120101129977. The next prime is 31120101130003. The reversal of 31120101130000 is 3110102113.

It is a tau number, because it is divible by the number of its divisors (200).

It is not an unprimeable number, because it can be changed into a prime (31120101130003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 911072922 + ... + 911107078.

Almost surely, 2^{31120101130000} 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 31120101130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38902048859520).

31120101130000 is an abundant number, since it is smaller than the sum of its proper divisors (46683996589040).

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

31120101130000 is a wasteful number, since it uses less digits than its factorization.

31120101130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37155 (or 37134 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 31120101130000 its reverse (3110102113), we get a palindrome (31123211232113).

The spelling of 31120101130000 in words is "thirty-one trillion, one hundred twenty billion, one hundred one million, one hundred thirty thousand".