200200312031000 has 256 divisors, whose sum is σ = 501455115083520. Its totient is φ = 74548838400000.

The previous prime is 200200312030991. The next prime is 200200312031081. The reversal of 200200312031000 is 130213002002.

It is a happy number.

It is a super-2 number, since 2×200200312031000² (a number of 29 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 63 ways as a sum of consecutive naturals, for example, 597943640 + ... + 598278360.

It is an arithmetic number, because the mean of its divisors is an integer number (1958809043295).

Almost surely, 2^{200200312031000} is an apocalyptic number.

200200312031000 is a gapful number since it is divisible by the number (20) 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 200200312031000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250727557541760).

200200312031000 is an abundant number, since it is smaller than the sum of its proper divisors (301254803052520).

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

200200312031000 is a wasteful number, since it uses less digits than its factorization.

200200312031000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335143 (or 335129 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 200200312031000 its reverse (130213002002), we get a palindrome (200330525033002).

The spelling of 200200312031000 in words is "two hundred trillion, two hundred billion, three hundred twelve million, thirty-one thousand".