103313312310 has 128 divisors (see below), whose sum is σ = 277868828160. Its totient is φ = 24418308096.

The previous prime is 103313312303. The next prime is 103313312327. The reversal of 103313312310 is 13213313301.

It is a super-2 number, since 2×103313312310² (a number of 23 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, 937222 + ... + 1041638.

It is an arithmetic number, because the mean of its divisors is an integer number (2170850220).

Almost surely, 2^103313312310 is an apocalyptic number.

103313312310 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 103313312310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138934414080).

103313312310 is an abundant number, since it is smaller than the sum of its proper divisors (174555515850).

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

103313312310 is a wasteful number, since it uses less digits than its factorization.

103313312310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104542.

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 103313312310 its reverse (13213313301), we get a palindrome (116526625611).

Subtracting from 103313312310 its reverse (13213313301), we obtain a palindrome (90099999009).

The spelling of 103313312310 in words is "one hundred three billion, three hundred thirteen million, three hundred twelve thousand, three hundred ten".