103023133032300 has 288 divisors, whose sum is σ = 332130557908800. Its totient is φ = 24481258045440.

The previous prime is 103023133032257. The next prime is 103023133032311. The reversal of 103023133032300 is 3230331320301.

It is a super-2 number, since 2×103023133032300² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 761887096 + ... + 762022304.

It is an arithmetic number, because the mean of its divisors is an integer number (1153231103850).

Almost surely, 2^{103023133032300} is an apocalyptic number.

103023133032300 is a gapful number since it is divisible by the number (10) 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 103023133032300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166065278954400).

103023133032300 is an abundant number, since it is smaller than the sum of its proper divisors (229107424876500).

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

103023133032300 is a wasteful number, since it uses less digits than its factorization.

103023133032300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142005 (or 141998 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 24.

Adding to 103023133032300 its reverse (3230331320301), we get a palindrome (106253464352601).

The spelling of 103023133032300 in words is "one hundred three trillion, twenty-three billion, one hundred thirty-three million, thirty-two thousand, three hundred".