103313332133312 has 224 divisors, whose sum is σ = 238699017891840. Its totient is φ = 43455428259840.

The previous prime is 103313332133309. The next prime is 103313332133317. The reversal of 103313332133312 is 213331233313301.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103313332133317) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2289368093 + ... + 2289413219.

Almost surely, 2^{103313332133312} 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 103313332133312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119349508945920).

103313332133312 is an abundant number, since it is smaller than the sum of its proper divisors (135385685758528).

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

103313332133312 is a wasteful number, since it uses less digits than its factorization.

103313332133312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45699 (or 45689 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 32.

Adding to 103313332133312 its reverse (213331233313301), we get a palindrome (316644565446613).

The spelling of 103313332133312 in words is "one hundred three trillion, three hundred thirteen billion, three hundred thirty-two million, one hundred thirty-three thousand, three hundred twelve".