201312000 has 288 divisors, whose sum is σ = 746141760. Its totient is φ = 53452800.

The previous prime is 201311993. The next prime is 201312061. The reversal of 201312000 is 213102.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 863884 + ... + 864116.

It is an arithmetic number, because the mean of its divisors is an integer number (2590770).

Almost surely, 2^201312000 is an apocalyptic number.

201312000 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 201312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373070880).

201312000 is an abundant number, since it is smaller than the sum of its proper divisors (544829760).

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

201312000 is an equidigital number, since it uses as much as digits as its factorization.

201312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 201312000 is about 14188.4460037032. The cubic root of 201312000 is about 586.0795319685.

Adding to 201312000 its reverse (213102), we get a palindrome (201525102).

The spelling of 201312000 in words is "two hundred one million, three hundred twelve thousand".