103310113011210 has 288 divisors, whose sum is σ = 314666790843600. Its totient is φ = 23447574872064.

The previous prime is 103310113011191. The next prime is 103310113011221. The reversal of 103310113011210 is 12110311013301.

103310113011210 is a `hidden beast` number, since 1 + 0 + 3 + 310 + 1 + 130 + 11 + 210 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 43948188611649 + 59361924399561 = 6629343^2 + 7704669^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 359134516 + ... + 359422064.

Almost surely, 2^{103310113011210} is an apocalyptic number.

103310113011210 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 103310113011210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157333395421800).

103310113011210 is an abundant number, since it is smaller than the sum of its proper divisors (211356677832390).

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

103310113011210 is a wasteful number, since it uses less digits than its factorization.

103310113011210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288150 (or 288140 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 103310113011210 its reverse (12110311013301), we get a palindrome (115420424024511).

The spelling of 103310113011210 in words is "one hundred three trillion, three hundred ten billion, one hundred thirteen million, eleven thousand, two hundred ten".