101013333013 has 16 divisors (see below), whose sum is σ = 102966514560. Its totient is φ = 99080077824.

The previous prime is 101013333011. The next prime is 101013333037. The reversal of 101013333013 is 310333310101.

It is a happy number.

It is not a de Polignac number, because 101013333013 - 2¹ = 101013333011 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101013333011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34205545 + ... + 34208497.

It is an arithmetic number, because the mean of its divisors is an integer number (6435407160).

Almost surely, 2^101013333013 is an apocalyptic number.

It is an amenable number.

101013333013 is a deficient number, since it is larger than the sum of its proper divisors (1953181547).

101013333013 is a wasteful number, since it uses less digits than its factorization.

101013333013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6108.

The product of its (nonzero) digits is 243, while the sum is 19.

Adding to 101013333013 its reverse (310333310101), we get a palindrome (411346643114).

The spelling of 101013333013 in words is "one hundred one billion, thirteen million, three hundred thirty-three thousand, thirteen".