100003313000 has 32 divisors (see below), whose sum is σ = 234007754760. Its totient is φ = 40001324800.

The previous prime is 100003312949. The next prime is 100003313017. The reversal of 100003313000 is 313300001.

It can be written as a sum of positive squares in 4 ways, for example, as 8374812196 + 91628500804 = 91514^2 + 302702^2 .

It is a super-2 number, since 2×100003313000² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50000657 + ... + 50002656.

Almost surely, 2^100003313000 is an apocalyptic number.

100003313000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100003313000 is an abundant number, since it is smaller than the sum of its proper divisors (134004441760).

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

100003313000 is a wasteful number, since it uses less digits than its factorization.

100003313000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100003334 (or 100003320 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 11.

Adding to 100003313000 its reverse (313300001), we get a palindrome (100316613001).

The spelling of 100003313000 in words is "one hundred billion, three million, three hundred thirteen thousand".