101313312113220 has 96 divisors (see below), whose sum is σ = 288506423721600. Its totient is φ = 26557031061504.

The previous prime is 101313312113219. The next prime is 101313312113257. The reversal of 101313312113220 is 22311213313101.

It is a super-2 number, since 2×101313312113220² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47775292 + ... + 49850828.

It is an arithmetic number, because the mean of its divisors is an integer number (3005275247100).

Almost surely, 2^{101313312113220} is an apocalyptic number.

101313312113220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101313312113220 is an abundant number, since it is smaller than the sum of its proper divisors (187193111608380).

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

101313312113220 is a wasteful number, since it uses less digits than its factorization.

101313312113220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2089397 (or 2089395 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 101313312113220 its reverse (22311213313101), we get a palindrome (123624525426321).

The spelling of 101313312113220 in words is "one hundred one trillion, three hundred thirteen billion, three hundred twelve million, one hundred thirteen thousand, two hundred twenty".