10100310313 has 4 divisors (see below), whose sum is σ = 10100742400. Its totient is φ = 10099878228.

The previous prime is 10100310307. The next prime is 10100310343. The reversal of 10100310313 is 31301300101.

It is a happy number.

10100310313 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 31301300101 = 7603 ⋅4116967.

It is a cyclic number.

It is not a de Polignac number, because 10100310313 - 2¹⁷ = 10100179241 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10100310293 and 10100310302.

It is not an unprimeable number, because it can be changed into a prime (10100310343) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 178845 + ... + 228442.

It is an arithmetic number, because the mean of its divisors is an integer number (2525185600).

Almost surely, 2^10100310313 is an apocalyptic number.

It is an amenable number.

10100310313 is a deficient number, since it is larger than the sum of its proper divisors (432087).

10100310313 is an equidigital number, since it uses as much as digits as its factorization.

10100310313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432086.

The product of its (nonzero) digits is 27, while the sum is 13.

Adding to 10100310313 its reverse (31301300101), we get a palindrome (41401610414).

The spelling of 10100310313 in words is "ten billion, one hundred million, three hundred ten thousand, three hundred thirteen".