100302313312 has 96 divisors (see below), whose sum is σ = 207886694400. Its totient is φ = 47545935360.

The previous prime is 100302313277. The next prime is 100302313327. The reversal of 100302313312 is 213313203001.

It is a super-2 number, since 2×100302313312² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 100302313312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81479737 + ... + 81480967.

It is an arithmetic number, because the mean of its divisors is an integer number (2165486400).

Almost surely, 2^100302313312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100302313312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103943347200).

100302313312 is an abundant number, since it is smaller than the sum of its proper divisors (107584381088).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100302313312 is a wasteful number, since it uses less digits than its factorization.

100302313312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2156 (or 2148 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 100302313312 its reverse (213313203001), we get a palindrome (313615516313).

The spelling of 100302313312 in words is "one hundred billion, three hundred two million, three hundred thirteen thousand, three hundred twelve".