10111012111213 has 16 divisors (see below), whose sum is σ = 11155856166000. Its totient is φ = 9104382443520.

The previous prime is 10111012111199. The next prime is 10111012111231. The reversal of 10111012111213 is 31211121011101.

It can be written as a sum of positive squares in 8 ways, for example, as 3026162930569 + 7084849180644 = 1739587^2 + 2661738^2 .

It is a de Polignac number, because none of the positive numbers 2^k-10111012111213 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10111012111513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2725113 + ... + 5258161.

It is an arithmetic number, because the mean of its divisors is an integer number (697241010375).

Almost surely, 2^{10111012111213} is an apocalyptic number.

10111012111213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10111012111213 is a deficient number, since it is larger than the sum of its proper divisors (1044844054787).

10111012111213 is a wasteful number, since it uses less digits than its factorization.

10111012111213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2540592.

The product of its (nonzero) digits is 12, while the sum is 16.

Adding to 10111012111213 its reverse (31211121011101), we get a palindrome (41322133122314).

The spelling of 10111012111213 in words is "ten trillion, one hundred eleven billion, twelve million, one hundred eleven thousand, two hundred thirteen".