100201311332213 has 32 divisors (see below), whose sum is σ = 125312436614400. Its totient is φ = 78007505849856.

The previous prime is 100201311332207. The next prime is 100201311332219. The reversal of 100201311332213 is 312233113102001.

It is an interprime number because it is at equal distance from previous prime (100201311332207) and next prime (100201311332219).

It is a cyclic number.

It is not a de Polignac number, because 100201311332213 - 2⁴⁴ = 82609125287797 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100201311332219) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15216278 + ... + 20783111.

It is an arithmetic number, because the mean of its divisors is an integer number (3916013644200).

Almost surely, 2^{100201311332213} is an apocalyptic number.

100201311332213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

100201311332213 is a deficient number, since it is larger than the sum of its proper divisors (25111125282187).

100201311332213 is a wasteful number, since it uses less digits than its factorization.

100201311332213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35999901.

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 100201311332213 its reverse (312233113102001), we get a palindrome (412434424434214).

The spelling of 100201311332213 in words is "one hundred trillion, two hundred one billion, three hundred eleven million, three hundred thirty-two thousand, two hundred thirteen".