103133003001000 has 512 divisors, whose sum is σ = 375061210168320. Its totient is φ = 23105032704000.

The previous prime is 103133003000999. The next prime is 103133003001023. The reversal of 103133003001000 is 100300331301.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1109614530 + ... + 1109707470.

It is an arithmetic number, because the mean of its divisors is an integer number (732541426110).

Almost surely, 2^{103133003001000} is an apocalyptic number.

103133003001000 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 103133003001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187530605084160).

103133003001000 is an abundant number, since it is smaller than the sum of its proper divisors (271928207167320).

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

103133003001000 is a wasteful number, since it uses less digits than its factorization.

103133003001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94022 (or 94008 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 15.

Adding to 103133003001000 its reverse (100300331301), we get a palindrome (103233303332301).

The spelling of 103133003001000 in words is "one hundred three trillion, one hundred thirty-three billion, three million, one thousand".