101313101321220 has 48 divisors (see below), whose sum is σ = 283680826309440. Its totient is φ = 27016432484736.

The previous prime is 101313101321129. The next prime is 101313101321251. The reversal of 101313101321220 is 22123101313101.

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 15 ways as a sum of consecutive naturals, for example, 8174722 + ... + 16415001.

It is an arithmetic number, because the mean of its divisors is an integer number (5910017214780).

Almost surely, 2^{101313101321220} is an apocalyptic number.

101313101321220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101313101321220 is an abundant number, since it is smaller than the sum of its proper divisors (182367724988220).

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

101313101321220 is a wasteful number, since it uses less digits than its factorization.

101313101321220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24658404 (or 24658402 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 101313101321220 its reverse (22123101313101), we get a palindrome (123436202634321).

The spelling of 101313101321220 in words is "one hundred one trillion, three hundred thirteen billion, one hundred one million, three hundred twenty-one thousand, two hundred twenty".