10111300211213 has 16 divisors (see below), whose sum is σ = 10810042488000. Its totient is φ = 9430036237440.

The previous prime is 10111300211203. The next prime is 10111300211231. The reversal of 10111300211213 is 31211200311101.

It is a cyclic number.

It is not a de Polignac number, because 10111300211213 - 2¹⁰ = 10111300210189 is a prime.

It is a super-2 number, since 2×10111300211213² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10111300211191 and 10111300211200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10111300211203) 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, 10965638 + ... + 11851911.

It is an arithmetic number, because the mean of its divisors is an integer number (675627655500).

Almost surely, 2^{10111300211213} is an apocalyptic number.

It is an amenable number.

10111300211213 is a deficient number, since it is larger than the sum of its proper divisors (698742276787).

10111300211213 is a wasteful number, since it uses less digits than its factorization.

10111300211213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22817932.

The product of its (nonzero) digits is 36, while the sum is 17.

Adding to 10111300211213 its reverse (31211200311101), we get a palindrome (41322500522314).

The spelling of 10111300211213 in words is "ten trillion, one hundred eleven billion, three hundred million, two hundred eleven thousand, two hundred thirteen".