2113133129 has 2 divisors, whose sum is σ = 2113133130. Its totient is φ = 2113133128.

The previous prime is 2113133101. The next prime is 2113133131. The reversal of 2113133129 is 9213313112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1635798025 + 477335104 = 40445^2 + 21848^2 .

It is a cyclic number.

It is not a de Polignac number, because 2113133129 - 2¹² = 2113129033 is a prime.

It is a Sophie Germain prime.

Together with 2113133131, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2113133098 and 2113133107.

It is not a weakly prime, because it can be changed into another prime (2113133149) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1056566564 + 1056566565.

It is an arithmetic number, because the mean of its divisors is an integer number (1056566565).

Almost surely, 2^2113133129 is an apocalyptic number.

It is an amenable number.

2113133129 is a deficient number, since it is larger than the sum of its proper divisors (1).

2113133129 is an equidigital number, since it uses as much as digits as its factorization.

2113133129 is an evil number, because the sum of its binary digits is even.

The product of its digits is 972, while the sum is 26.

The square root of 2113133129 is about 45968.8277966711. The cubic root of 2113133129 is about 1283.2431448998.

The spelling of 2113133129 in words is "two billion, one hundred thirteen million, one hundred thirty-three thousand, one hundred twenty-nine".