220312013100 has 72 divisors (see below), whose sum is σ = 646414126848. Its totient is φ = 57922401600.

The previous prime is 220312013087. The next prime is 220312013137. The reversal of 220312013100 is 1310213022.

220312013100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×220312013100² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 220312013100.

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 23 ways as a sum of consecutive naturals, for example, 5150344 + ... + 5192943.

It is an arithmetic number, because the mean of its divisors is an integer number (8977973984).

Almost surely, 2^220312013100 is an apocalyptic number.

220312013100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220312013100 is an abundant number, since it is smaller than the sum of its proper divisors (426102113748).

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

220312013100 is a wasteful number, since it uses less digits than its factorization.

220312013100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10343375 (or 10343368 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 220312013100 its reverse (1310213022), we get a palindrome (221622226122).

The spelling of 220312013100 in words is "two hundred twenty billion, three hundred twelve million, thirteen thousand, one hundred".