23102100013 has 8 divisors (see below), whose sum is σ = 24108710400. Its totient is φ = 22095670608.

The previous prime is 23102099983. The next prime is 23102100029. The reversal of 23102100013 is 31000120132.

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 23102100013 - 2²⁹ = 22565229101 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 23102099966 and 23102100002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23102100313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 259303 + ... + 336811.

It is an arithmetic number, because the mean of its divisors is an integer number (3013588800).

Almost surely, 2^23102100013 is an apocalyptic number.

23102100013 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

23102100013 is a deficient number, since it is larger than the sum of its proper divisors (1006610387).

23102100013 is a wasteful number, since it uses less digits than its factorization.

23102100013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90491.

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 23102100013 its reverse (31000120132), we get a palindrome (54102220145).

The spelling of 23102100013 in words is "twenty-three billion, one hundred two million, one hundred thousand, thirteen".