101420440013 has 2 divisors, whose sum is σ = 101420440014. Its totient is φ = 101420440012.

The previous prime is 101420439959. The next prime is 101420440021. The reversal of 101420440013 is 310044024101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 51948893929 + 49471546084 = 227923^2 + 222422^2 .

It is a cyclic number.

It is not a de Polignac number, because 101420440013 - 2⁶ = 101420439949 is a prime.

It is a super-2 number, since 2×101420440013² (a number of 23 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101420470013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50710220006 + 50710220007.

It is an arithmetic number, because the mean of its divisors is an integer number (50710220007).

Almost surely, 2^101420440013 is an apocalyptic number.

It is an amenable number.

101420440013 is a deficient number, since it is larger than the sum of its proper divisors (1).

101420440013 is an equidigital number, since it uses as much as digits as its factorization.

101420440013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 101420440013 its reverse (310044024101), we get a palindrome (411464464114).

The spelling of 101420440013 in words is "one hundred one billion, four hundred twenty million, four hundred forty thousand, thirteen".