103313201100032 has 144 divisors (see below), whose sum is σ = 257344706271744. Its totient is φ = 40214993664000.

The previous prime is 103313201100013. The next prime is 103313201100073. The reversal of 103313201100032 is 230001102313301.

It is a junction number, because it is equal to n+sod(n) for n = 103313201099977 and 103313201100013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19103807 + ... + 23907777.

It is an arithmetic number, because the mean of its divisors is an integer number (1787116015776).

Almost surely, 2^{103313201100032} 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 103313201100032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128672353135872).

103313201100032 is an abundant number, since it is smaller than the sum of its proper divisors (154031505171712).

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

103313201100032 is a wasteful number, since it uses less digits than its factorization.

103313201100032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4805096 (or 4805082 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 103313201100032 its reverse (230001102313301), we get a palindrome (333314303413333).

The spelling of 103313201100032 in words is "one hundred three trillion, three hundred thirteen billion, two hundred one million, one hundred thousand, thirty-two".