101013 has 8 divisors (see below), whose sum is σ = 146976. Its totient is φ = 61200.

The previous prime is 101009. The next prime is 101021. The reversal of 101013 is 310101.

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

It is not a de Polignac number, because 101013 - 2² = 101009 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100992 and 101010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101063) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1498 + ... + 1563.

It is an arithmetic number, because the mean of its divisors is an integer number (18372).

2¹⁰¹⁰¹³ is an apocalyptic number.

It is an amenable number.

101013 is a deficient number, since it is larger than the sum of its proper divisors (45963).

101013 is a wasteful number, since it uses less digits than its factorization.

101013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3075.

The product of its (nonzero) digits is 3, while the sum is 6.

The square root of 101013 is about 317.8254237785. The cubic root of 101013 is about 46.5720930492.

Adding to 101013 its reverse (310101), we get a palindrome (411114).

It can be divided in two parts, 10101 and 3, that multiplied together give a palindrome (30303).

The spelling of 101013 in words is "one hundred one thousand, thirteen".