101001312013 has 16 divisors (see below), whose sum is σ = 122250795520. Its totient is φ = 81512919216.

The previous prime is 101001311981. The next prime is 101001312019. The reversal of 101001312013 is 310213100101.

It is a cyclic number.

It is not a de Polignac number, because 101001312013 - 2⁵ = 101001311981 is a prime.

It is a super-2 number, since 2×101001312013² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101001311984 and 101001312002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101001312019) 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, 2307795 + ... + 2351152.

It is an arithmetic number, because the mean of its divisors is an integer number (7640674720).

Almost surely, 2^101001312013 is an apocalyptic number.

It is an amenable number.

101001312013 is a deficient number, since it is larger than the sum of its proper divisors (21249483507).

101001312013 is a wasteful number, since it uses less digits than its factorization.

101001312013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4659136.

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 101001312013 its reverse (310213100101), we get a palindrome (411214412114).

The spelling of 101001312013 in words is "one hundred one billion, one million, three hundred twelve thousand, thirteen".