100032300012213 has 24 divisors (see below), whose sum is σ = 144650079051192. Its totient is φ = 66614861190528.

The previous prime is 100032300012209. The next prime is 100032300012251. The reversal of 100032300012213 is 312210003230001.

It can be written as a sum of positive squares in 4 ways, for example, as 49700554219044 + 50331745793169 = 7049862^2 + 7094487^2 .

It is not a de Polignac number, because 100032300012213 - 2² = 100032300012209 is a prime.

It is a super-2 number, since 2×100032300012213² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100032300016213) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31774395 + ... + 34780407.

It is an arithmetic number, because the mean of its divisors is an integer number (6027086627133).

Almost surely, 2^{100032300012213} is an apocalyptic number.

It is an amenable number.

100032300012213 is a deficient number, since it is larger than the sum of its proper divisors (44617779038979).

100032300012213 is a wasteful number, since it uses less digits than its factorization.

100032300012213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3010085 (or 3010082 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 100032300012213 its reverse (312210003230001), we get a palindrome (412242303242214).

The spelling of 100032300012213 in words is "one hundred trillion, thirty-two billion, three hundred million, twelve thousand, two hundred thirteen".