2133028119121 has 9 divisors (see below), whose sum is σ = 2145143763633. Its totient is φ = 2120980545360.

The previous prime is 2133028119097. The next prime is 2133028119191. The reversal of 2133028119121 is 1219118203312.

The square root of 2133028119121 is 1460489.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 2083868360721 + 49159758400 = 1443561^2 + 221720^2 .

It is not a de Polignac number, because 2133028119121 - 2¹³ = 2133028110929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2133028119191) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 264344475 + ... + 264352543.

Almost surely, 2^{2133028119121} is an apocalyptic number.

2133028119121 is the 1460489-th square number.

2133028119121 is the 730245-th centered octagonal number.

It is an amenable number.

2133028119121 is a deficient number, since it is larger than the sum of its proper divisors (12115644512).

2133028119121 is an frugal number, since it uses more digits than its factorization.

2133028119121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16500 (or 8250 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 34.

The spelling of 2133028119121 in words is "two trillion, one hundred thirty-three billion, twenty-eight million, one hundred nineteen thousand, one hundred twenty-one".