1230101313137 has 2 divisors, whose sum is σ = 1230101313138. Its totient is φ = 1230101313136.

The previous prime is 1230101313131. The next prime is 1230101313143. The reversal of 1230101313137 is 7313131010321.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (1230101313131) and next prime (1230101313143).

It can be written as a sum of positive squares in only one way, i.e., 1037863787536 + 192237525601 = 1018756^2 + 438449^2 .

It is a cyclic number.

It is not a de Polignac number, because 1230101313137 - 2²⁸ = 1229832877681 is a prime.

It is not a weakly prime, because it can be changed into another prime (1230101313131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 615050656568 + 615050656569.

It is an arithmetic number, because the mean of its divisors is an integer number (615050656569).

Almost surely, 2^{1230101313137} is an apocalyptic number.

It is an amenable number.

1230101313137 is a deficient number, since it is larger than the sum of its proper divisors (1).

1230101313137 is an equidigital number, since it uses as much as digits as its factorization.

1230101313137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1134, while the sum is 26.

Adding to 1230101313137 its reverse (7313131010321), we get a palindrome (8543232323458).

The spelling of 1230101313137 in words is "one trillion, two hundred thirty billion, one hundred one million, three hundred thirteen thousand, one hundred thirty-seven".