100313301101 has 12 divisors (see below), whose sum is σ = 109698775380. Its totient is φ = 91680076800.

The previous prime is 100313301061. The next prime is 100313301103. The reversal of 100313301101 is 101103313001.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 945870025 + 99367431076 = 30755^2 + 315226^2 .

It is not a de Polignac number, because 100313301101 - 2¹⁴ = 100313284717 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100313301103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2921396 + ... + 2955533.

It is an arithmetic number, because the mean of its divisors is an integer number (9141564615).

Almost surely, 2^100313301101 is an apocalyptic number.

It is an amenable number.

100313301101 is a deficient number, since it is larger than the sum of its proper divisors (9385474279).

100313301101 is a wasteful number, since it uses less digits than its factorization.

100313301101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5877056 (or 5877043 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 14.

Adding to 100313301101 its reverse (101103313001), we get a palindrome (201416614102).

The spelling of 100313301101 in words is "one hundred billion, three hundred thirteen million, three hundred one thousand, one hundred one".