101020101013 has 8 divisors (see below), whose sum is σ = 109434613400. Its totient is φ = 93249321984.

The previous prime is 101020100981. The next prime is 101020101031. The reversal of 101020101013 is 310101020101.

It can be written as a sum of positive squares in 4 ways, for example, as 48513586564 + 52506514449 = 220258^2 + 229143^2 .

It is not a de Polignac number, because 101020101013 - 2⁵ = 101020100981 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 (101020101043) 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 in 7 ways as a sum of consecutive naturals, for example, 22988268 + ... + 22992661.

It is an arithmetic number, because the mean of its divisors is an integer number (13679326675).

Almost surely, 2^101020101013 is an apocalyptic number.

101020101013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

101020101013 is a deficient number, since it is larger than the sum of its proper divisors (8414512387).

101020101013 is an frugal number, since it uses more digits than its factorization.

101020101013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45980968 (or 45980942 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 101020101013 its reverse (310101020101), we get a palindrome (411121121114).

The spelling of 101020101013 in words is "one hundred one billion, twenty million, one hundred one thousand, thirteen".