31100001000200 has 192 divisors, whose sum is σ = 79096546872000. Its totient is φ = 11278203494400.

The previous prime is 31100001000199. The next prime is 31100001000203. The reversal of 31100001000200 is 200010000113.

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

It is not an unprimeable number, because it can be changed into a prime (31100001000203) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2110327232 + ... + 2110341968.

It is an arithmetic number, because the mean of its divisors is an integer number (411961181625).

Almost surely, 2^{31100001000200} 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 31100001000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39548273436000).

31100001000200 is an abundant number, since it is smaller than the sum of its proper divisors (47996545871800).

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

31100001000200 is a wasteful number, since it uses less digits than its factorization.

31100001000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17320 (or 17311 counting only the distinct ones).

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

Adding to 31100001000200 its reverse (200010000113), we get a palindrome (31300011000313).

The spelling of 31100001000200 in words is "thirty-one trillion, one hundred billion, one million, two hundred", and thus it is an aban number.