100013101020331 has 4 divisors (see below), whose sum is σ = 100086586033464. Its totient is φ = 99939616007200.

The previous prime is 100013101020269. The next prime is 100013101020367. The reversal of 100013101020331 is 133020101310001.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 100013101020331 - 2¹¹ = 100013101018283 is a prime.

It is a super-2 number, since 2×100013101020331² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100013101020731) 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 3 ways as a sum of consecutive naturals, for example, 36742504525 + ... + 36742507246.

It is an arithmetic number, because the mean of its divisors is an integer number (25021646508366).

Almost surely, 2^{100013101020331} is an apocalyptic number.

100013101020331 is a deficient number, since it is larger than the sum of its proper divisors (73485013133).

100013101020331 is an equidigital number, since it uses as much as digits as its factorization.

100013101020331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73485013132.

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 100013101020331 its reverse (133020101310001), we get a palindrome (233033202330332).

The spelling of 100013101020331 in words is "one hundred trillion, thirteen billion, one hundred one million, twenty thousand, three hundred thirty-one".