101413021 has 2 divisors, whose sum is σ = 101413022. Its totient is φ = 101413020.

The previous prime is 101413001. The next prime is 101413031. The reversal of 101413021 is 120314101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 89510521 + 11902500 = 9461^2 + 3450^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101413021 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101412992 and 101413010.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101413001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50706510 + 50706511.

It is an arithmetic number, because the mean of its divisors is an integer number (50706511).

Almost surely, 2^101413021 is an apocalyptic number.

It is an amenable number.

101413021 is a deficient number, since it is larger than the sum of its proper divisors (1).

101413021 is an equidigital number, since it uses as much as digits as its factorization.

101413021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 101413021 is about 10070.4032193354. The cubic root of 101413021 is about 466.3348870208.

Adding to 101413021 its reverse (120314101), we get a palindrome (221727122).

The spelling of 101413021 in words is "one hundred one million, four hundred thirteen thousand, twenty-one".