100201303012213 has 8 divisors (see below), whose sum is σ = 107910266956856. Its totient is φ = 92492506411200.

The previous prime is 100201303012193. The next prime is 100201303012259. The reversal of 100201303012213 is 312210303102001.

It can be written as a sum of positive squares in 4 ways, for example, as 7503342643729 + 92697960368484 = 2739223^2 + 9627978^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100201303012213 is a prime.

It is a super-2 number, since 2×100201303012213² (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 (100201303082213) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40590918 + ... + 42988663.

It is an arithmetic number, because the mean of its divisors is an integer number (13488783369607).

Almost surely, 2^{100201303012213} is an apocalyptic number.

100201303012213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

100201303012213 is a deficient number, since it is larger than the sum of its proper divisors (7708963944643).

100201303012213 is an equidigital number, since it uses as much as digits as its factorization.

100201303012213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83671815.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 100201303012213 its reverse (312210303102001), we get a palindrome (412411606114214).

The spelling of 100201303012213 in words is "one hundred trillion, two hundred one billion, three hundred three million, twelve thousand, two hundred thirteen".