1121431314003 has 192 divisors, whose sum is σ = 2154462105600. Its totient is φ = 508626397440.

The previous prime is 1121431313993. The next prime is 1121431314007. The reversal of 1121431314003 is 3004131341211.

It is a happy number.

It is not a de Polignac number, because 1121431314003 - 2⁵ = 1121431313971 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1121431314007) 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 191 ways as a sum of consecutive naturals, for example, 296751568 + ... + 296755346.

It is an arithmetic number, because the mean of its divisors is an integer number (11221156800).

Almost surely, 2^{1121431314003} is an apocalyptic number.

1121431314003 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

1121431314003 is a deficient number, since it is larger than the sum of its proper divisors (1033030791597).

1121431314003 is a wasteful number, since it uses less digits than its factorization.

1121431314003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4582 (or 4575 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 1121431314003 its reverse (3004131341211), we get a palindrome (4125562655214).

The spelling of 1121431314003 in words is "one trillion, one hundred twenty-one billion, four hundred thirty-one million, three hundred fourteen thousand, three".