101023001113 has 2 divisors, whose sum is σ = 101023001114. Its totient is φ = 101023001112.

The previous prime is 101023001081. The next prime is 101023001147. The reversal of 101023001113 is 311100320101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 74645343369 + 26377657744 = 273213^2 + 162412^2 .

It is a cyclic number.

It is not a de Polignac number, because 101023001113 - 2⁵ = 101023001081 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101023001093 and 101023001102.

It is not a weakly prime, because it can be changed into another prime (101023001173) 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, 50511500556 + 50511500557.

It is an arithmetic number, because the mean of its divisors is an integer number (50511500557).

Almost surely, 2^101023001113 is an apocalyptic number.

It is an amenable number.

101023001113 is a deficient number, since it is larger than the sum of its proper divisors (1).

101023001113 is an equidigital number, since it uses as much as digits as its factorization.

101023001113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 101023001113 its reverse (311100320101), we get a palindrome (412123321214).

The spelling of 101023001113 in words is "one hundred one billion, twenty-three million, one thousand, one hundred thirteen".