101052520013 has 4 divisors (see below), whose sum is σ = 102959171388. Its totient is φ = 99145868640.

The previous prime is 101052520007. The next prime is 101052520027. The reversal of 101052520013 is 310025250101.

It is a happy number.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 35012771689 + 66039748324 = 187117^2 + 256982^2 .

It is a cyclic number.

It is not a de Polignac number, because 101052520013 - 2¹⁸ = 101052257869 is a prime.

It is a super-2 number, since 2×101052520013² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101052522013) 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 in 3 ways as a sum of consecutive naturals, for example, 953325608 + ... + 953325713.

It is an arithmetic number, because the mean of its divisors is an integer number (25739792847).

Almost surely, 2^101052520013 is an apocalyptic number.

It is an amenable number.

101052520013 is a deficient number, since it is larger than the sum of its proper divisors (1906651375).

101052520013 is an equidigital number, since it uses as much as digits as its factorization.

101052520013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1906651374.

The product of its (nonzero) digits is 300, while the sum is 20.

Adding to 101052520013 its reverse (310025250101), we get a palindrome (411077770114).

The spelling of 101052520013 in words is "one hundred one billion, fifty-two million, five hundred twenty thousand, thirteen".