103011313002112 has 128 divisors (see below), whose sum is σ = 211950224413200. Its totient is φ = 49837271285760.

The previous prime is 103011313002109. The next prime is 103011313002113. The reversal of 103011313002112 is 211200313110301.

It can be written as a sum of positive squares in 8 ways, for example, as 3662569198656 + 99348743803456 = 1913784^2 + 9967384^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×103011313002112² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 103011313002112.

It is not an unprimeable number, because it can be changed into a prime (103011313002113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 797279788 + ... + 797408980.

Almost surely, 2^{103011313002112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103011313002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105975112206600).

103011313002112 is an abundant number, since it is smaller than the sum of its proper divisors (108938911411088).

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

103011313002112 is a wasteful number, since it uses less digits than its factorization.

103011313002112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130494 (or 130482 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 103011313002112 its reverse (211200313110301), we get a palindrome (314211626112413).

The spelling of 103011313002112 in words is "one hundred three trillion, eleven billion, three hundred thirteen million, two thousand, one hundred twelve".