100400313 has 64 divisors (see below), whose sum is σ = 163215360. Its totient is φ = 54286848.

The previous prime is 100400273. The next prime is 100400323. The reversal of 100400313 is 313004001.

It is not a de Polignac number, because 100400313 - 2¹⁷ = 100269241 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100400323) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 732781 + ... + 732917.

It is an arithmetic number, because the mean of its divisors is an integer number (2550240).

Almost surely, 2^100400313 is an apocalyptic number.

100400313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

100400313 is a deficient number, since it is larger than the sum of its proper divisors (62815047).

100400313 is a wasteful number, since it uses less digits than its factorization.

100400313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238.

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 100400313 is about 10019.9956586817. The cubic root of 100400313 is about 464.7774215147. Note that the first 3 decimals are identical.

Adding to 100400313 its reverse (313004001), we get a palindrome (413404314).

The spelling of 100400313 in words is "one hundred million, four hundred thousand, three hundred thirteen".