100313000 has 32 divisors (see below), whose sum is σ = 234734760. Its totient is φ = 40124800.

The previous prime is 100312963. The next prime is 100313021. The reversal of 100313000 is 313001.

It can be written as a sum of positive squares in 4 ways, for example, as 8421604 + 91891396 = 2902^2 + 9586^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

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, 49157 + ... + 51156.

Almost surely, 2^100313000 is an apocalyptic number.

100313000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100313000 is an abundant number, since it is smaller than the sum of its proper divisors (134421760).

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

100313000 is a wasteful number, since it uses less digits than its factorization.

100313000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100334 (or 100320 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 8.

The square root of 100313000 is about 10015.6377730028. The cubic root of 100313000 is about 464.6426514154.

Adding to 100313000 its reverse (313001), we get a palindrome (100626001).

Subtracting from 100313000 its reverse (313001), we obtain a palindrome (99999999).

It can be divided in two parts, 10031 and 3000, that added together give a palindrome (13031).

The spelling of 100313000 in words is "one hundred million, three hundred thirteen thousand".