100313475345 has 12 divisors (see below), whose sum is σ = 173876690676. Its totient is φ = 53500520160.

The previous prime is 100313475337. The next prime is 100313475347. The reversal of 100313475345 is 543574313001.

100313475345 is a `hidden beast` number, since 100 + 3 + 13 + 4 + 7 + 534 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 74260610064 + 26052865281 = 272508^2 + 161409^2 .

It is not a de Polignac number, because 100313475345 - 2³ = 100313475337 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100313475347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1114594126 + ... + 1114594215.

It is an arithmetic number, because the mean of its divisors is an integer number (14489724223).

Almost surely, 2^100313475345 is an apocalyptic number.

100313475345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100313475345 is a deficient number, since it is larger than the sum of its proper divisors (73563215331).

100313475345 is a wasteful number, since it uses less digits than its factorization.

100313475345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2229188352 (or 2229188349 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

Adding to 100313475345 its reverse (543574313001), we get a palindrome (643887788346).

The spelling of 100313475345 in words is "one hundred billion, three hundred thirteen million, four hundred seventy-five thousand, three hundred forty-five".