201300514000 has 80 divisors (see below), whose sum is σ = 488331619776. Its totient is φ = 80257680000.

The previous prime is 201300513991. The next prime is 201300514033. The reversal of 201300514000 is 415003102.

201300514000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 450075 + ... + 777925.

Almost surely, 2^201300514000 is an apocalyptic number.

201300514000 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 201300514000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244165809888).

201300514000 is an abundant number, since it is smaller than the sum of its proper divisors (287031105776).

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

201300514000 is a wasteful number, since it uses less digits than its factorization.

201300514000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328181 (or 328165 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

Adding to 201300514000 its reverse (415003102), we get a palindrome (201715517102).

The spelling of 201300514000 in words is "two hundred one billion, three hundred million, five hundred fourteen thousand".