312102142040537 has 2 divisors, whose sum is σ = 312102142040538. Its totient is φ = 312102142040536.

The previous prime is 312102142040383. The next prime is 312102142040581. The reversal of 312102142040537 is 735040241201213.

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., 279458791114441 + 32643350926096 = 16717021^2 + 5713436^2 .

It is a cyclic number.

It is not a de Polignac number, because 312102142040537 - 2⁴⁴ = 294509955996121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 312102142040497 and 312102142040506.

It is not a weakly prime, because it can be changed into another prime (312102142040587) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156051071020268 + 156051071020269.

It is an arithmetic number, because the mean of its divisors is an integer number (156051071020269).

Almost surely, 2^{312102142040537} is an apocalyptic number.

It is an amenable number.

312102142040537 is a deficient number, since it is larger than the sum of its proper divisors (1).

312102142040537 is an equidigital number, since it uses as much as digits as its factorization.

312102142040537 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 40320, while the sum is 35.

The spelling of 312102142040537 in words is "three hundred twelve trillion, one hundred two billion, one hundred forty-two million, forty thousand, five hundred thirty-seven".