31100200100000 has 288 divisors, whose sum is σ = 76961426028480. Its totient is φ = 12370279680000.

The previous prime is 31100200099957. The next prime is 31100200100089. The reversal of 31100200100000 is 100200113.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19328899196 + ... + 19328900804.

It is an arithmetic number, because the mean of its divisors is an integer number (267227173710).

Almost surely, 2^{31100200100000} 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 31100200100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38480713014240).

31100200100000 is an abundant number, since it is smaller than the sum of its proper divisors (45861225928480).

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

31100200100000 is an equidigital number, since it uses as much as digits as its factorization.

31100200100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2610 (or 2582 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

Adding to 31100200100000 its reverse (100200113), we get a palindrome (31100300300113).

The spelling of 31100200100000 in words is "thirty-one trillion, one hundred billion, two hundred million, one hundred thousand".