100101033013 has 8 divisors (see below), whose sum is σ = 100879590240. Its totient is φ = 99322694640.

The previous prime is 100101032981. The next prime is 100101033017. The reversal of 100101033013 is 310330101001.

It is a happy number.

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

It is a cyclic number.

It is not a de Polignac number, because 100101033013 - 2⁵ = 100101032981 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100101032984 and 100101033002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100101033017) 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, 932523 + ... + 1034311.

It is an arithmetic number, because the mean of its divisors is an integer number (12609948780).

Almost surely, 2^100101033013 is an apocalyptic number.

It is an amenable number.

100101033013 is a deficient number, since it is larger than the sum of its proper divisors (778557227).

100101033013 is a wasteful number, since it uses less digits than its factorization.

100101033013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109427.

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

Adding to 100101033013 its reverse (310330101001), we get a palindrome (410431134014).

The spelling of 100101033013 in words is "one hundred billion, one hundred one million, thirty-three thousand, thirteen".