100021003303013 has 32 divisors (see below), whose sum is σ = 119129370796800. Its totient is φ = 83085098535936.

The previous prime is 100021003302919. The next prime is 100021003303019. The reversal of 100021003303013 is 310303300120001.

It is a de Polignac number, because none of the positive numbers 2^k-100021003303013 is a prime.

It is a super-2 number, since 2×100021003303013² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a junction number, because it is equal to n+sod(n) for n = 100021003302982 and 100021003303000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100021003303019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75098783 + ... + 76419036.

It is an arithmetic number, because the mean of its divisors is an integer number (3722792837400).

Almost surely, 2^{100021003303013} is an apocalyptic number.

100021003303013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

100021003303013 is a deficient number, since it is larger than the sum of its proper divisors (19108367493787).

100021003303013 is a wasteful number, since it uses less digits than its factorization.

100021003303013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151517981.

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 100021003303013 its reverse (310303300120001), we get a palindrome (410324303423014).

The spelling of 100021003303013 in words is "one hundred trillion, twenty-one billion, three million, three hundred three thousand, thirteen".