10103133323010 has 256 divisors, whose sum is σ = 30915285811200. Its totient is φ = 2055270841344.

The previous prime is 10103133322879. The next prime is 10103133323021. The reversal of 10103133323010 is 1032333130101.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 56834487 + ... + 57011973.

It is an arithmetic number, because the mean of its divisors is an integer number (120762835200).

Almost surely, 2^{10103133323010} is an apocalyptic number.

10103133323010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10103133323010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15457642905600).

10103133323010 is an abundant number, since it is smaller than the sum of its proper divisors (20812152488190).

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

10103133323010 is a wasteful number, since it uses less digits than its factorization.

10103133323010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178265.

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 10103133323010 its reverse (1032333130101), we get a palindrome (11135466453111).

The spelling of 10103133323010 in words is "ten trillion, one hundred three billion, one hundred thirty-three million, three hundred twenty-three thousand, ten".