102131101313 has 8 divisors (see below), whose sum is σ = 104620999296. Its totient is φ = 99646419600.

The previous prime is 102131101307. The next prime is 102131101321. The reversal of 102131101313 is 313101131201.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 102131101313 - 2¹⁰ = 102131100289 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102131101291 and 102131101300.

It is not an unprimeable number, because it can be changed into a prime (102131301313) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1264418 + ... + 1342763.

It is an arithmetic number, because the mean of its divisors is an integer number (13077624912).

Almost surely, 2^102131101313 is an apocalyptic number.

It is an amenable number.

102131101313 is a deficient number, since it is larger than the sum of its proper divisors (2489897983).

102131101313 is an equidigital number, since it uses as much as digits as its factorization.

102131101313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2608135.

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 102131101313 its reverse (313101131201), we get a palindrome (415232232514).

The spelling of 102131101313 in words is "one hundred two billion, one hundred thirty-one million, one hundred one thousand, three hundred thirteen".