101033113013 has 16 divisors (see below), whose sum is σ = 116787479040. Its totient is φ = 85609408896.

The previous prime is 101033112967. The next prime is 101033113033. The reversal of 101033113013 is 310311330101.

It is a cyclic number.

It is not a de Polignac number, because 101033113013 - 2¹⁰ = 101033111989 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 101033112982 and 101033113000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101033113033) 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, 3747620 + ... + 3774482.

It is an arithmetic number, because the mean of its divisors is an integer number (7299217440).

Almost surely, 2^101033113013 is an apocalyptic number.

It is an amenable number.

101033113013 is a deficient number, since it is larger than the sum of its proper divisors (15754366027).

101033113013 is an equidigital number, since it uses as much as digits as its factorization.

101033113013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32996.

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

Adding to 101033113013 its reverse (310311330101), we get a palindrome (411344443114).

The spelling of 101033113013 in words is "one hundred one billion, thirty-three million, one hundred thirteen thousand, thirteen".