31200114110200 has 384 divisors, whose sum is σ = 86362072473600. Its totient is φ = 10256162273280.

The previous prime is 31200114110101. The next prime is 31200114110213. The reversal of 31200114110200 is 201141100213.

It is a super-2 number, since 2×31200114110200² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9851629017 + ... + 9851632183.

It is an arithmetic number, because the mean of its divisors is an integer number (224901230400).

Almost surely, 2^{31200114110200} 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 31200114110200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43181036236800).

31200114110200 is an abundant number, since it is smaller than the sum of its proper divisors (55161958363400).

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

31200114110200 is a wasteful number, since it uses less digits than its factorization.

31200114110200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4839 (or 4830 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 31200114110200 its reverse (201141100213), we get a palindrome (31401255210413).

The spelling of 31200114110200 in words is "thirty-one trillion, two hundred billion, one hundred fourteen million, one hundred ten thousand, two hundred".