102131100013 has 4 divisors (see below), whose sum is σ = 102312505728. Its totient is φ = 101949694300.

The previous prime is 102131099977. The next prime is 102131100017. The reversal of 102131100013 is 310001131201.

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: 310001131201 = 997 ⋅310933933.

It is a cyclic number.

It is not a de Polignac number, because 102131100013 - 2¹⁷ = 102130968941 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102131099966 and 102131100002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102131100017) 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, 90702013 + ... + 90703138.

It is an arithmetic number, because the mean of its divisors is an integer number (25578126432).

Almost surely, 2^102131100013 is an apocalyptic number.

It is an amenable number.

102131100013 is a deficient number, since it is larger than the sum of its proper divisors (181405715).

102131100013 is an equidigital number, since it uses as much as digits as its factorization.

102131100013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181405714.

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 102131100013 its reverse (310001131201), we get a palindrome (412132231214).

The spelling of 102131100013 in words is "one hundred two billion, one hundred thirty-one million, one hundred thousand, thirteen".