10102312312113 has 16 divisors (see below), whose sum is σ = 15610816613376. Its totient is φ = 5691443555280.

The previous prime is 10102312312091. The next prime is 10102312312187. The reversal of 10102312312113 is 31121321320101.

It is not a de Polignac number, because 10102312312113 - 2⁸ = 10102312311857 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 10102312312113.

It is not an unprimeable number, because it can be changed into a prime (10102312310113) 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, 3387762531 + ... + 3387765512.

It is an arithmetic number, because the mean of its divisors is an integer number (975676038336).

Almost surely, 2^{10102312312113} is an apocalyptic number.

It is an amenable number.

10102312312113 is a deficient number, since it is larger than the sum of its proper divisors (5508504301263).

10102312312113 is an equidigital number, since it uses as much as digits as its factorization.

10102312312113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6775528124.

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 10102312312113 its reverse (31121321320101), we get a palindrome (41223633632214).

The spelling of 10102312312113 in words is "ten trillion, one hundred two billion, three hundred twelve million, three hundred twelve thousand, one hundred thirteen".