1003123434121 has 8 divisors (see below), whose sum is σ = 1019731105800. Its totient is φ = 986521021440.

The previous prime is 1003123434113. The next prime is 1003123434139. The reversal of 1003123434121 is 1214343213001.

It can be written as a sum of positive squares in 4 ways, for example, as 13973840521 + 989149593600 = 118211^2 + 994560^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1003123434121 - 2³ = 1003123434113 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1003123435121) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 929176 + ... + 1693993.

It is an arithmetic number, because the mean of its divisors is an integer number (127466388225).

Almost surely, 2^{1003123434121} is an apocalyptic number.

It is an amenable number.

1003123434121 is a deficient number, since it is larger than the sum of its proper divisors (16607671679).

1003123434121 is an equidigital number, since it uses as much as digits as its factorization.

1003123434121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2629499.

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 1003123434121 its reverse (1214343213001), we get a palindrome (2217466647122).

The spelling of 1003123434121 in words is "one trillion, three billion, one hundred twenty-three million, four hundred thirty-four thousand, one hundred twenty-one".