101013331013 has 8 divisors (see below), whose sum is σ = 115577584128. Its totient is φ = 86482522224.

The previous prime is 101013330991. The next prime is 101013331039. The reversal of 101013331013 is 310133310101.

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

It is not a de Polignac number, because 101013331013 - 2⁸ = 101013330757 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101013330982 and 101013331000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101013331043) 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, 8354606 + ... + 8366687.

It is an arithmetic number, because the mean of its divisors is an integer number (14447198016).

Almost surely, 2^101013331013 is an apocalyptic number.

It is an amenable number.

101013331013 is a deficient number, since it is larger than the sum of its proper divisors (14564253115).

101013331013 is an equidigital number, since it uses as much as digits as its factorization.

101013331013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16722163.

The product of its (nonzero) digits is 81, while the sum is 17.

Adding to 101013331013 its reverse (310133310101), we get a palindrome (411146641114).

The spelling of 101013331013 in words is "one hundred one billion, thirteen million, three hundred thirty-one thousand, thirteen".