200312001310013 has 16 divisors (see below), whose sum is σ = 213469319803824. Its totient is φ = 187307640898560.

The previous prime is 200312001309919. The next prime is 200312001310019. The reversal of 200312001310013 is 310013100213002.

It can be written as a sum of positive squares in 8 ways, for example, as 6367885700089 + 193944115609924 = 2523467^2 + 13926382^2 .

It is a cyclic number.

It is not a de Polignac number, because 200312001310013 - 2¹⁶ = 200312001244477 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 200312001309973 and 200312001310000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200312001310019) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20342003 + ... + 28538063.

It is an arithmetic number, because the mean of its divisors is an integer number (13341832487739).

Almost surely, 2^{200312001310013} is an apocalyptic number.

It is an amenable number.

200312001310013 is a deficient number, since it is larger than the sum of its proper divisors (13157318493811).

200312001310013 is a wasteful number, since it uses less digits than its factorization.

200312001310013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8205392.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 200312001310013 its reverse (310013100213002), we get a palindrome (510325101523015).

The spelling of 200312001310013 in words is "two hundred trillion, three hundred twelve billion, one million, three hundred ten thousand, thirteen".