101001013013013 has 16 divisors (see below), whose sum is σ = 142590245037120. Its totient is φ = 63372927032576.

The previous prime is 101001013012967. The next prime is 101001013013053. The reversal of 101001013013013 is 310310310100101.

It is a cyclic number.

It is not a de Polignac number, because 101001013013013 - 2¹⁰ = 101001013011989 is a prime.

It is a super-4 number, since 4×101001013013013⁴ (a number of 57 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101001013012983 and 101001013013001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101001013013053) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9057343 + ... + 16853411.

It is an arithmetic number, because the mean of its divisors is an integer number (8911890314820).

Almost surely, 2^{101001013013013} is an apocalyptic number.

It is an amenable number.

101001013013013 is a deficient number, since it is larger than the sum of its proper divisors (41589232024107).

101001013013013 is a wasteful number, since it uses less digits than its factorization.

101001013013013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8050116.

The product of its (nonzero) digits is 27, while the sum is 15.

Adding to 101001013013013 its reverse (310310310100101), we get a palindrome (411311323113114).

The spelling of 101001013013013 in words is "one hundred one trillion, one billion, thirteen million, thirteen thousand, thirteen".