100020301013 has 16 divisors (see below), whose sum is σ = 107086233600. Its totient is φ = 93211789440.

The previous prime is 100020301009. The next prime is 100020301019. The reversal of 100020301013 is 310103020001.

It is a cyclic number.

It is not a de Polignac number, because 100020301013 - 2² = 100020301009 is a prime.

It is a super-2 number, since 2×100020301013² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100020300985 and 100020301003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100020301019) 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, 199073 + ... + 489561.

It is an arithmetic number, because the mean of its divisors is an integer number (6692889600).

Almost surely, 2^100020301013 is an apocalyptic number.

It is an amenable number.

100020301013 is a deficient number, since it is larger than the sum of its proper divisors (7065932587).

100020301013 is a wasteful number, since it uses less digits than its factorization.

100020301013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290932.

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 100020301013 its reverse (310103020001), we get a palindrome (410123321014).

The spelling of 100020301013 in words is "one hundred billion, twenty million, three hundred one thousand, thirteen".