2111332100013 has 6 divisors (see below), whose sum is σ = 3049701922254. Its totient is φ = 1407554733336.

The previous prime is 2111332099999. The next prime is 2111332100027. The reversal of 2111332100013 is 3100012331112.

It is an interprime number because it is at equal distance from previous prime (2111332099999) and next prime (2111332100027).

It can be written as a sum of positive squares in only one way, i.e., 1486199933604 + 625132166409 = 1219098^2 + 790653^2 .

It is not a de Polignac number, because 2111332100013 - 2¹³ = 2111332091821 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2111332102013) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 117296227770 + ... + 117296227787.

It is an arithmetic number, because the mean of its divisors is an integer number (508283653709).

Almost surely, 2^{2111332100013} is an apocalyptic number.

It is an amenable number.

2111332100013 is a deficient number, since it is larger than the sum of its proper divisors (938369822241).

2111332100013 is a wasteful number, since it uses less digits than its factorization.

2111332100013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234592455563 (or 234592455560 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 2111332100013 its reverse (3100012331112), we get a palindrome (5211344431125).

The spelling of 2111332100013 in words is "two trillion, one hundred eleven billion, three hundred thirty-two million, one hundred thousand, thirteen".