2113120111129 has 2 divisors, whose sum is σ = 2113120111130. Its totient is φ = 2113120111128.

The previous prime is 2113120111121. The next prime is 2113120111139. The reversal of 2113120111129 is 9211110213112.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2101696776729 + 11423334400 = 1449723^2 + 106880^2 .

It is a cyclic number.

It is not a de Polignac number, because 2113120111129 - 2³ = 2113120111121 is a prime.

It is not a weakly prime, because it can be changed into another prime (2113120111121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1056560055564 + 1056560055565.

It is an arithmetic number, because the mean of its divisors is an integer number (1056560055565).

Almost surely, 2^{2113120111129} is an apocalyptic number.

It is an amenable number.

2113120111129 is a deficient number, since it is larger than the sum of its proper divisors (1).

2113120111129 is an equidigital number, since it uses as much as digits as its factorization.

2113120111129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 216, while the sum is 25.

The spelling of 2113120111129 in words is "two trillion, one hundred thirteen billion, one hundred twenty million, one hundred eleven thousand, one hundred twenty-nine".