10103303123232 has 384 divisors, whose sum is σ = 29422673280000. Its totient is φ = 3010304102400.

The previous prime is 10103303123209. The next prime is 10103303123237. The reversal of 10103303123232 is 23232130330101.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (10103303123237) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6740028019 + ... + 6740029517.

It is an arithmetic number, because the mean of its divisors is an integer number (76621545000).

Almost surely, 2^{10103303123232} is an apocalyptic number.

10103303123232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10103303123232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14711336640000).

10103303123232 is an abundant number, since it is smaller than the sum of its proper divisors (19319370156768).

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

10103303123232 is a wasteful number, since it uses less digits than its factorization.

10103303123232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2080 (or 2072 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 10103303123232 its reverse (23232130330101), we get a palindrome (33335433453333).

The spelling of 10103303123232 in words is "ten trillion, one hundred three billion, three hundred three million, one hundred twenty-three thousand, two hundred thirty-two".