4101315137 has 2 divisors, whose sum is σ = 4101315138. Its totient is φ = 4101315136.

The previous prime is 4101315131. The next prime is 4101315143. The reversal of 4101315137 is 7315131014.

It is a balanced prime because it is at equal distance from previous prime (4101315131) and next prime (4101315143).

It can be written as a sum of positive squares in only one way, i.e., 3275959696 + 825355441 = 57236^2 + 28729^2 .

It is a cyclic number.

It is not a de Polignac number, because 4101315137 - 2⁴ = 4101315121 is a prime.

It is not a weakly prime, because it can be changed into another prime (4101315131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2050657568 + 2050657569.

It is an arithmetic number, because the mean of its divisors is an integer number (2050657569).

Almost surely, 2^4101315137 is an apocalyptic number.

It is an amenable number.

4101315137 is a deficient number, since it is larger than the sum of its proper divisors (1).

4101315137 is an equidigital number, since it uses as much as digits as its factorization.

4101315137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1260, while the sum is 26.

The square root of 4101315137 is about 64041.5110455711. The cubic root of 4101315137 is about 1600.6917759908.

The spelling of 4101315137 in words is "four billion, one hundred one million, three hundred fifteen thousand, one hundred thirty-seven".