102131100213 has 16 divisors (see below), whose sum is σ = 136347468480. Its totient is φ = 68001122816.

The previous prime is 102131100199. The next prime is 102131100229. The reversal of 102131100213 is 312001131201.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 102131100213 - 2⁹ = 102131099701 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 102131100192 and 102131100201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102131100293) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9874981 + ... + 9885317.

It is an arithmetic number, because the mean of its divisors is an integer number (8521716780).

Almost surely, 2^102131100213 is an apocalyptic number.

It is an amenable number.

102131100213 is a deficient number, since it is larger than the sum of its proper divisors (34216368267).

102131100213 is a wasteful number, since it uses less digits than its factorization.

102131100213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14196.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 102131100213 its reverse (312001131201), we get a palindrome (414132231414).

The spelling of 102131100213 in words is "one hundred two billion, one hundred thirty-one million, one hundred thousand, two hundred thirteen".