1003121313 has 8 divisors (see below), whose sum is σ = 1338106176. Its totient is φ = 668442000.

The previous prime is 1003121267. The next prime is 1003121341. The reversal of 1003121313 is 3131213001.

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

It is not a de Polignac number, because 1003121313 - 2¹³ = 1003113121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1003121292 and 1003121301.

It is not an unprimeable number, because it can be changed into a prime (1003121213) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 68613 + ... + 81938.

It is an arithmetic number, because the mean of its divisors is an integer number (167263272).

Almost surely, 2^1003121313 is an apocalyptic number.

It is an amenable number.

1003121313 is a deficient number, since it is larger than the sum of its proper divisors (334984863).

1003121313 is a wasteful number, since it uses less digits than its factorization.

1003121313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152775.

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 1003121313 is about 31672.0904425332. The cubic root of 1003121313 is about 1001.0393570294.

Adding to 1003121313 its reverse (3131213001), we get a palindrome (4134334314).

The spelling of 1003121313 in words is "one billion, three million, one hundred twenty-one thousand, three hundred thirteen".