201413120000 has 260 divisors, whose sum is σ = 520857662820. Its totient is φ = 77758464000.

The previous prime is 201413119987. The next prime is 201413120003. The reversal of 201413120000 is 21314102.

It can be written as a sum of positive squares in 10 ways, for example, as 87957323776 + 113455796224 = 296576^2 + 336832^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201413120003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 74238644 + ... + 74241356.

Almost surely, 2^201413120000 is an apocalyptic number.

201413120000 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 201413120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260428831410).

201413120000 is an abundant number, since it is smaller than the sum of its proper divisors (319444542820).

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

201413120000 is an frugal number, since it uses more digits than its factorization.

201413120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2786 (or 2749 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 201413120000 its reverse (21314102), we get a palindrome (201434434102).

The spelling of 201413120000 in words is "two hundred one billion, four hundred thirteen million, one hundred twenty thousand".