2120013333333 has 96 divisors (see below), whose sum is σ = 3588532346880. Its totient is φ = 1181116823040.

The previous prime is 2120013333313. The next prime is 2120013333341. The reversal of 2120013333333 is 3333333100212.

It is not a de Polignac number, because 2120013333333 - 2⁵ = 2120013333301 is a prime.

It is a super-3 number, since 3×2120013333333³ (a number of 38 digits) contains 333 as substring.

2120013333333 is a modest number, since divided by 3333333 gives 212001 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 2120013333297 and 2120013333306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2120013333313) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 234018358 + ... + 234027416.

It is an arithmetic number, because the mean of its divisors is an integer number (37380545280).

Almost surely, 2^{2120013333333} is an apocalyptic number.

It is an amenable number.

2120013333333 is a deficient number, since it is larger than the sum of its proper divisors (1468519013547).

2120013333333 is a wasteful number, since it uses less digits than its factorization.

2120013333333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9719 (or 9716 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 27.

Adding to 2120013333333 its reverse (3333333100212), we get a palindrome (5453346433545).

The spelling of 2120013333333 in words is "two trillion, one hundred twenty billion, thirteen million, three hundred thirty-three thousand, three hundred thirty-three".