103013313221310 has 128 divisors (see below), whose sum is σ = 257945974640640. Its totient is φ = 26307739101696.

The previous prime is 103013313221261. The next prime is 103013313221333. The reversal of 103013313221310 is 13122313310301.

It is a super-2 number, since 2×103013313221310² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26026471 + ... + 29722109.

It is an arithmetic number, because the mean of its divisors is an integer number (2015202926880).

Almost surely, 2^{103013313221310} is an apocalyptic number.

103013313221310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 103013313221310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128972987320320).

103013313221310 is an abundant number, since it is smaller than the sum of its proper divisors (154932661419330).

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

103013313221310 is a wasteful number, since it uses less digits than its factorization.

103013313221310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3696122.

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 103013313221310 its reverse (13122313310301), we get a palindrome (116135626531611).

The spelling of 103013313221310 in words is "one hundred three trillion, thirteen billion, three hundred thirteen million, two hundred twenty-one thousand, three hundred ten".