201152034513013 has 8 divisors (see below), whose sum is σ = 201165753830616. Its totient is φ = 201138315705600.

The previous prime is 201152034513007. The next prime is 201152034513097. The reversal of 201152034513013 is 310315430251102.

It can be written as a sum of positive squares in 4 ways, for example, as 19402324707249 + 181749709805764 = 4404807^2 + 13481458^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 201152034513013 - 2¹⁷ = 201152034381941 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201152034573013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1071453993 + ... + 1071641713.

It is an arithmetic number, because the mean of its divisors is an integer number (25145719228827).

Almost surely, 2^{201152034513013} is an apocalyptic number.

It is an amenable number.

201152034513013 is a deficient number, since it is larger than the sum of its proper divisors (13719317603).

201152034513013 is a wasteful number, since it uses less digits than its factorization.

201152034513013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255095.

The product of its (nonzero) digits is 10800, while the sum is 31.

Adding to 201152034513013 its reverse (310315430251102), we get a palindrome (511467464764115).

The spelling of 201152034513013 in words is "two hundred one trillion, one hundred fifty-two billion, thirty-four million, five hundred thirteen thousand, thirteen".