2113434137 has 2 divisors, whose sum is σ = 2113434138. Its totient is φ = 2113434136.

The previous prime is 2113434119. The next prime is 2113434151. The reversal of 2113434137 is 7314343112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1998000601 + 115433536 = 44699^2 + 10744^2 .

It is a cyclic number.

It is not a de Polignac number, because 2113434137 - 2¹⁸ = 2113171993 is a prime.

It is a super-3 number, since 3×2113434137³ (a number of 29 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (2113434107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1056717068 + 1056717069.

It is an arithmetic number, because the mean of its divisors is an integer number (1056717069).

Almost surely, 2^2113434137 is an apocalyptic number.

It is an amenable number.

2113434137 is a deficient number, since it is larger than the sum of its proper divisors (1).

2113434137 is an equidigital number, since it uses as much as digits as its factorization.

2113434137 is an evil number, because the sum of its binary digits is even.

The product of its digits is 6048, while the sum is 29.

The square root of 2113434137 is about 45972.1017248505. The cubic root of 2113434137 is about 1283.3040730871.

Adding to 2113434137 its reverse (7314343112), we get a palindrome (9427777249).

The spelling of 2113434137 in words is "two billion, one hundred thirteen million, four hundred thirty-four thousand, one hundred thirty-seven".