101312013220 has 48 divisors (see below), whose sum is σ = 242187781248. Its totient is φ = 35238959360.

The previous prime is 101312013217. The next prime is 101312013221. The reversal of 101312013220 is 22310213101.

It is a junction number, because it is equal to n+sod(n) for n = 101312013194 and 101312013203.

It is not an unprimeable number, because it can be changed into a prime (101312013221) by changing a digit.

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, 10006009 + ... + 10016128.

It is an arithmetic number, because the mean of its divisors is an integer number (5045578776).

Almost surely, 2^101312013220 is an apocalyptic number.

101312013220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101312013220 is an abundant number, since it is smaller than the sum of its proper divisors (140875768028).

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

101312013220 is a wasteful number, since it uses less digits than its factorization.

101312013220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20022180 (or 20022178 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 101312013220 its reverse (22310213101), we get a palindrome (123622226321).

The spelling of 101312013220 in words is "one hundred one billion, three hundred twelve million, thirteen thousand, two hundred twenty".