102100312313 has 4 divisors (see below), whose sum is σ = 102251125860. Its totient is φ = 101949498768.

The previous prime is 102100312289. The next prime is 102100312333. The reversal of 102100312313 is 313213001201.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 76183176169 + 25917136144 = 276013^2 + 160988^2 .

It is a cyclic number.

It is not a de Polignac number, because 102100312313 - 2¹⁴ = 102100295929 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102100312291 and 102100312300.

It is not an unprimeable number, because it can be changed into a prime (102100312333) 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, 75405758 + ... + 75407111.

It is an arithmetic number, because the mean of its divisors is an integer number (25562781465).

Almost surely, 2^102100312313 is an apocalyptic number.

It is an amenable number.

102100312313 is a deficient number, since it is larger than the sum of its proper divisors (150813547).

102100312313 is an equidigital number, since it uses as much as digits as its factorization.

102100312313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150813546.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 102100312313 its reverse (313213001201), we get a palindrome (415313313514).

The spelling of 102100312313 in words is "one hundred two billion, one hundred million, three hundred twelve thousand, three hundred thirteen".