31031200200000 has 4032 divisors, whose sum is σ = 143724765526272. Its totient is φ = 5854464000000.

The previous prime is 31031200199963. The next prime is 31031200200029. The reversal of 31031200200000 is 200213013.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 508708199970 + ... + 508708200030.

It is an arithmetic number, because the mean of its divisors is an integer number (35646023196).

Almost surely, 2^{31031200200000} is an apocalyptic number.

31031200200000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31031200200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71862382763136).

31031200200000 is an abundant number, since it is smaller than the sum of its proper divisors (112693565326272).

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

31031200200000 is an equidigital number, since it uses as much as digits as its factorization.

31031200200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 31031200200000 its reverse (200213013), we get a palindrome (31031400413013).

The spelling of 31031200200000 in words is "thirty-one trillion, thirty-one billion, two hundred million, two hundred thousand".