1313313002331 has 8 divisors (see below), whose sum is σ = 1910273457984. Its totient is φ = 795947274120.

The previous prime is 1313313002311. The next prime is 1313313002347. The reversal of 1313313002331 is 1332003133131.

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

It is not a de Polignac number, because 1313313002331 - 2¹⁴ = 1313312985947 is a prime.

It is a super-3 number, since 3×1313313002331³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (1313313002311) 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, 19898681821 + ... + 19898681886.

It is an arithmetic number, because the mean of its divisors is an integer number (238784182248).

Almost surely, 2^{1313313002331} is an apocalyptic number.

1313313002331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1313313002331 is a deficient number, since it is larger than the sum of its proper divisors (596960455653).

1313313002331 is a wasteful number, since it uses less digits than its factorization.

1313313002331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39797363721.

The product of its (nonzero) digits is 1458, while the sum is 24.

Adding to 1313313002331 its reverse (1332003133131), we get a palindrome (2645316135462).

The spelling of 1313313002331 in words is "one trillion, three hundred thirteen billion, three hundred thirteen million, two thousand, three hundred thirty-one".