101313313100 has 18 divisors (see below), whose sum is σ = 219849889644. Its totient is φ = 40525325200.

The previous prime is 101313313099. The next prime is 101313313117. The reversal of 101313313100 is 1313313101.

It is a super-2 number, since 2×101313313100² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 506566466 + ... + 506566665.

It is an arithmetic number, because the mean of its divisors is an integer number (12213882758).

Almost surely, 2^101313313100 is an apocalyptic number.

101313313100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101313313100 is an abundant number, since it is smaller than the sum of its proper divisors (118536576544).

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

101313313100 is a wasteful number, since it uses less digits than its factorization.

101313313100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1013133145 (or 1013133138 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 17.

Adding to 101313313100 its reverse (1313313101), we get a palindrome (102626626201).

Subtracting from 101313313100 its reverse (1313313101), we obtain a palindrome (99999999999).

The spelling of 101313313100 in words is "one hundred one billion, three hundred thirteen million, three hundred thirteen thousand, one hundred".