2137122313 has 2 divisors, whose sum is σ = 2137122314. Its totient is φ = 2137122312.

The previous prime is 2137122301. The next prime is 2137122319. The reversal of 2137122313 is 3132217312.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2098830969 + 38291344 = 45813^2 + 6188^2 .

It is a cyclic number.

It is not a de Polignac number, because 2137122313 - 2²¹ = 2135025161 is a prime.

It is not a weakly prime, because it can be changed into another prime (2137122319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1068561156 + 1068561157.

It is an arithmetic number, because the mean of its divisors is an integer number (1068561157).

Almost surely, 2^2137122313 is an apocalyptic number.

It is an amenable number.

2137122313 is a deficient number, since it is larger than the sum of its proper divisors (1).

2137122313 is an equidigital number, since it uses as much as digits as its factorization.

2137122313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1512, while the sum is 25.

The square root of 2137122313 is about 46229.0202470267. The cubic root of 2137122313 is about 1288.0808578101.

Adding to 2137122313 its reverse (3132217312), we get a palindrome (5269339625).

The spelling of 2137122313 in words is "two billion, one hundred thirty-seven million, one hundred twenty-two thousand, three hundred thirteen".