10113313100 has 54 divisors (see below), whose sum is σ = 24122370132. Its totient is φ = 3677564000.

The previous prime is 10113313097. The next prime is 10113313109. The reversal of 10113313100 is 131331101.

It is a happy number.

10113313100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10113313100² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10113313109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 405806 + ... + 430005.

It is an arithmetic number, because the mean of its divisors is an integer number (446710558).

Almost surely, 2^10113313100 is an apocalyptic number.

10113313100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10113313100 is an abundant number, since it is smaller than the sum of its proper divisors (14009057032).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10113313100 is a wasteful number, since it uses less digits than its factorization.

10113313100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 835847 (or 835829 counting only the distinct ones).

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

Adding to 10113313100 its reverse (131331101), we get a palindrome (10244644201).

The spelling of 10113313100 in words is "ten billion, one hundred thirteen million, three hundred thirteen thousand, one hundred".