201332100013 has 12 divisors (see below), whose sum is σ = 221338576060. Its totient is φ = 182996383680.

The previous prime is 201332099981. The next prime is 201332100031. The reversal of 201332100013 is 310001233102.

It can be written as a sum of positive squares in 2 ways, for example, as 124967199049 + 76364900964 = 353507^2 + 276342^2 .

It is not a de Polignac number, because 201332100013 - 2⁵ = 201332099981 is a prime.

It is a super-2 number, since 2×201332100013² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 201332100013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201332100043) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 542131 + ... + 834607.

Almost surely, 2^201332100013 is an apocalyptic number.

It is an amenable number.

201332100013 is a deficient number, since it is larger than the sum of its proper divisors (20006476047).

201332100013 is a wasteful number, since it uses less digits than its factorization.

201332100013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298188 (or 298177 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 201332100013 its reverse (310001233102), we get a palindrome (511333333115).

The spelling of 201332100013 in words is "two hundred one billion, three hundred thirty-two million, one hundred thousand, thirteen".