12102100213313 has 16 divisors (see below), whose sum is σ = 13564489436160. Its totient is φ = 10700313321600.

The previous prime is 12102100213303. The next prime is 12102100213349. The reversal of 12102100213313 is 31331200120121.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 12102100213313 - 2⁶ = 12102100213249 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12102100213303) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4871393 + ... + 6923486.

It is an arithmetic number, because the mean of its divisors is an integer number (847780589760).

Almost surely, 2^{12102100213313} is an apocalyptic number.

It is an amenable number.

12102100213313 is a deficient number, since it is larger than the sum of its proper divisors (1462389222847).

12102100213313 is a wasteful number, since it uses less digits than its factorization.

12102100213313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11797448.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 12102100213313 its reverse (31331200120121), we get a palindrome (43433300333434).

The spelling of 12102100213313 in words is "twelve trillion, one hundred two billion, one hundred million, two hundred thirteen thousand, three hundred thirteen".