101100313310 has 16 divisors (see below), whose sum is σ = 182056464000. Its totient is φ = 40423258656.

The previous prime is 101100313297. The next prime is 101100313339. The reversal of 101100313310 is 13313001101.

It is a happy number.

101100313310 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×101100313310² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2083145 + ... + 2131124.

It is an arithmetic number, because the mean of its divisors is an integer number (11378529000).

Almost surely, 2^101100313310 is an apocalyptic number.

101100313310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101100313310 is a deficient number, since it is larger than the sum of its proper divisors (80956150690).

101100313310 is a wasteful number, since it uses less digits than its factorization.

101100313310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4216675.

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

Adding to 101100313310 its reverse (13313001101), we get a palindrome (114413314411).

The spelling of 101100313310 in words is "one hundred one billion, one hundred million, three hundred thirteen thousand, three hundred ten".