101124142032113 has 2 divisors, whose sum is σ = 101124142032114. Its totient is φ = 101124142032112.

The previous prime is 101124142032101. The next prime is 101124142032127. The reversal of 101124142032113 is 311230241421101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99901764137569 + 1222377894544 = 9995087^2 + 1105612^2 .

It is a cyclic number.

It is not a de Polignac number, because 101124142032113 - 2⁴² = 96726095521009 is a prime.

It is not a weakly prime, because it can be changed into another prime (101124142032163) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50562071016056 + 50562071016057.

It is an arithmetic number, because the mean of its divisors is an integer number (50562071016057).

Almost surely, 2^{101124142032113} is an apocalyptic number.

It is an amenable number.

101124142032113 is a deficient number, since it is larger than the sum of its proper divisors (1).

101124142032113 is an equidigital number, since it uses as much as digits as its factorization.

101124142032113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1152, while the sum is 26.

Adding to 101124142032113 its reverse (311230241421101), we get a palindrome (412354383453214).

The spelling of 101124142032113 in words is "one hundred one trillion, one hundred twenty-four billion, one hundred forty-two million, thirty-two thousand, one hundred thirteen".