10300100213 has 16 divisors (see below), whose sum is σ = 11270278656. Its totient is φ = 9355642560.

The previous prime is 10300100197. The next prime is 10300100263. The reversal of 10300100213 is 31200100301.

It is a cyclic number.

It is not a de Polignac number, because 10300100213 - 2⁴ = 10300100197 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10300100194 and 10300100203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10300100263) 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, 857195 + ... + 869127.

It is an arithmetic number, because the mean of its divisors is an integer number (704392416).

Almost surely, 2^10300100213 is an apocalyptic number.

10300100213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10300100213 is a deficient number, since it is larger than the sum of its proper divisors (970178443).

10300100213 is a wasteful number, since it uses less digits than its factorization.

10300100213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13004.

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 10300100213 its reverse (31200100301), we get a palindrome (41500200514).

The spelling of 10300100213 in words is "ten billion, three hundred million, one hundred thousand, two hundred thirteen".