2120220013331 has 32 divisors (see below), whose sum is σ = 2467841904000. Its totient is φ = 1784083783680.

The previous prime is 2120220013319. The next prime is 2120220013369. The reversal of 2120220013331 is 1333100220212.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2120220013331 is a prime.

It is a super-2 number, since 2×2120220013331² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2120220013031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 349119311 + ... + 349125383.

It is an arithmetic number, because the mean of its divisors is an integer number (77120059500).

Almost surely, 2^{2120220013331} is an apocalyptic number.

2120220013331 is a deficient number, since it is larger than the sum of its proper divisors (347621890669).

2120220013331 is a wasteful number, since it uses less digits than its factorization.

2120220013331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10079.

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 2120220013331 its reverse (1333100220212), we get a palindrome (3453320233543).

The spelling of 2120220013331 in words is "two trillion, one hundred twenty billion, two hundred twenty million, thirteen thousand, three hundred thirty-one".