101002121313013 has 8 divisors (see below), whose sum is σ = 101022496382808. Its totient is φ = 100981747286784.

The previous prime is 101002121312993. The next prime is 101002121313017. The reversal of 101002121313013 is 310313121200101.

It can be written as a sum of positive squares in 4 ways, for example, as 6910705107684 + 94091416205329 = 2628822^2 + 9700073^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101002121313013 - 2³⁷ = 100864682359541 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101002121313017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 210289545 + ... + 210769297.

It is an arithmetic number, because the mean of its divisors is an integer number (12627812047851).

Almost surely, 2^{101002121313013} is an apocalyptic number.

It is an amenable number.

101002121313013 is a deficient number, since it is larger than the sum of its proper divisors (20375069795).

101002121313013 is an equidigital number, since it uses as much as digits as its factorization.

101002121313013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521783.

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 101002121313013 its reverse (310313121200101), we get a palindrome (411315242513114).

The spelling of 101002121313013 in words is "one hundred one trillion, two billion, one hundred twenty-one million, three hundred thirteen thousand, thirteen".