101331013 has 16 divisors (see below), whose sum is σ = 118702080. Its totient is φ = 84697776.

The previous prime is 101331011. The next prime is 101331019. The reversal of 101331013 is 310133101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 101331013 - 2¹ = 101331011 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101330984 and 101331002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101331011) 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, 157270 + ... + 157912.

It is an arithmetic number, because the mean of its divisors is an integer number (7418880).

Almost surely, 2^101331013 is an apocalyptic number.

It is an amenable number.

101331013 is a deficient number, since it is larger than the sum of its proper divisors (17371067).

101331013 is an equidigital number, since it uses as much as digits as its factorization.

101331013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1176.

The product of its (nonzero) digits is 27, while the sum is 13.

The square root of 101331013 is about 10066.3306621629. The cubic root of 101331013 is about 466.2091520013.

Adding to 101331013 its reverse (310133101), we get a palindrome (411464114).

It can be divided in two parts, 10133101 and 3, that multiplied together give a palindrome (30399303).

The spelling of 101331013 in words is "one hundred one million, three hundred thirty-one thousand, thirteen".