2111111137213 has 24 divisors (see below), whose sum is σ = 2289031207848. Its totient is φ = 1946132877312.

The previous prime is 2111111137211. The next prime is 2111111137237. The reversal of 2111111137213 is 3127311111112.

It can be written as a sum of positive squares in 12 ways, for example, as 1409448588804 + 701662548409 = 1187202^2 + 837653^2 .

It is not a de Polignac number, because 2111111137213 - 2¹ = 2111111137211 is a prime.

It is a super-2 number, since 2×2111111137213² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2111111137211) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 760211481 + ... + 760214257.

It is an arithmetic number, because the mean of its divisors is an integer number (95376300327).

Almost surely, 2^{2111111137213} is an apocalyptic number.

It is an amenable number.

2111111137213 is a deficient number, since it is larger than the sum of its proper divisors (177920070635).

2111111137213 is a wasteful number, since it uses less digits than its factorization.

2111111137213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7153 (or 7140 counting only the distinct ones).

The product of its digits is 252, while the sum is 25.

Adding to 2111111137213 its reverse (3127311111112), we get a palindrome (5238422248325).

The spelling of 2111111137213 in words is "two trillion, one hundred eleven billion, one hundred eleven million, one hundred thirty-seven thousand, two hundred thirteen".