100021313013 has 16 divisors (see below), whose sum is σ = 133606701696. Its totient is φ = 66558473280.

The previous prime is 100021313009. The next prime is 100021313057. The reversal of 100021313013 is 310313120001.

It is not a de Polignac number, because 100021313013 - 2² = 100021313009 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100021312983 and 100021313001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100021317013) 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, 7026243 + ... + 7040463.

It is an arithmetic number, because the mean of its divisors is an integer number (8350418856).

Almost surely, 2^100021313013 is an apocalyptic number.

It is an amenable number.

100021313013 is a deficient number, since it is larger than the sum of its proper divisors (33585388683).

100021313013 is a wasteful number, since it uses less digits than its factorization.

100021313013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18364.

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 100021313013 its reverse (310313120001), we get a palindrome (410334433014).

The spelling of 100021313013 in words is "one hundred billion, twenty-one million, three hundred thirteen thousand, thirteen".