2121331201113 has 16 divisors (see below), whose sum is σ = 2897530618752. Its totient is φ = 1379678736000.

The previous prime is 2121331201103. The next prime is 2121331201123. The reversal of 2121331201113 is 3111021331212.

It is an interprime number because it is at equal distance from previous prime (2121331201103) and next prime (2121331201123).

It is not a de Polignac number, because 2121331201113 - 2¹³ = 2121331192921 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2121331201113.

It is not an unprimeable number, because it can be changed into a prime (2121331201103) 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, 3358903 + ... + 3940163.

It is an arithmetic number, because the mean of its divisors is an integer number (181095663672).

Almost surely, 2^{2121331201113} is an apocalyptic number.

It is an amenable number.

2121331201113 is a deficient number, since it is larger than the sum of its proper divisors (776199417639).

2121331201113 is a wasteful number, since it uses less digits than its factorization.

2121331201113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 610976.

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 2121331201113 its reverse (3111021331212), we get a palindrome (5232352532325).

The spelling of 2121331201113 in words is "two trillion, one hundred twenty-one billion, three hundred thirty-one million, two hundred one thousand, one hundred thirteen".