1003121313331 has 8 divisors (see below), whose sum is σ = 1012885163264. Its totient is φ = 993357940680.

The previous prime is 1003121313323. The next prime is 1003121313407. The reversal of 1003121313331 is 1333131213001.

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 1003121313331 - 2³ = 1003121313323 is a prime.

It is a super-2 number, since 2×1003121313331² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1003121311331) 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, 5292850 + ... + 5479096.

It is an arithmetic number, because the mean of its divisors is an integer number (126610645408).

Almost surely, 2^{1003121313331} is an apocalyptic number.

1003121313331 is a deficient number, since it is larger than the sum of its proper divisors (9763849933).

1003121313331 is a wasteful number, since it uses less digits than its factorization.

1003121313331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238641.

The product of its (nonzero) digits is 486, while the sum is 22.

Adding to 1003121313331 its reverse (1333131213001), we get a palindrome (2336252526332).

The spelling of 1003121313331 in words is "one trillion, three billion, one hundred twenty-one million, three hundred thirteen thousand, three hundred thirty-one".