100243404313 has 8 divisors (see below), whose sum is σ = 108001547528. Its totient is φ = 92491991424.

The previous prime is 100243404307. The next prime is 100243404353. The reversal of 100243404313 is 313404342001.

It can be written as a sum of positive squares in 4 ways, for example, as 2616527104 + 97626877209 = 51152^2 + 312453^2 .

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 100243404313 - 2⁵ = 100243404281 is a prime.

It is a super-3 number, since 3×100243404313³ (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100243404353) 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, 1651620 + ... + 1711237.

It is an arithmetic number, because the mean of its divisors is an integer number (13500193441).

Almost surely, 2^100243404313 is an apocalyptic number.

100243404313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

100243404313 is a deficient number, since it is larger than the sum of its proper divisors (7758143215).

100243404313 is a wasteful number, since it uses less digits than its factorization.

100243404313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3365163.

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 100243404313 its reverse (313404342001), we get a palindrome (413647746314).

The spelling of 100243404313 in words is "one hundred billion, two hundred forty-three million, four hundred four thousand, three hundred thirteen".