100312303300313 has 16 divisors (see below), whose sum is σ = 112091218853376. Its totient is φ = 89144709995520.

The previous prime is 100312303300289. The next prime is 100312303300331. The reversal of 100312303300313 is 313003303213001.

It is a cyclic number.

It is not a de Polignac number, because 100312303300313 - 2³⁰ = 100311229558489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100312303300213) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 644776895 + ... + 644932452.

It is an arithmetic number, because the mean of its divisors is an integer number (7005701178336).

Almost surely, 2^{100312303300313} is an apocalyptic number.

100312303300313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

100312303300313 is a deficient number, since it is larger than the sum of its proper divisors (11778915553063).

100312303300313 is a wasteful number, since it uses less digits than its factorization.

100312303300313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1289709584.

The product of its (nonzero) digits is 1458, while the sum is 23.

Adding to 100312303300313 its reverse (313003303213001), we get a palindrome (413315606513314).

The spelling of 100312303300313 in words is "one hundred trillion, three hundred twelve billion, three hundred three million, three hundred thousand, three hundred thirteen".