1313311131333 has 48 divisors (see below), whose sum is σ = 2028129876864. Its totient is φ = 816899973120.

The previous prime is 1313311131323. The next prime is 1313311131397. The reversal of 1313311131333 is 3331311133131.

1313311131333 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 311 + 1 + 313 + 33 = 666.

It is not a de Polignac number, because 1313311131333 - 2¹⁰ = 1313311130309 is a prime.

It is a super-2 number, since 2×1313311131333² (a number of 25 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1313311131297 and 1313311131306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313311131323) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64516485 + ... + 64536837.

It is an arithmetic number, because the mean of its divisors is an integer number (42252705768).

Almost surely, 2^{1313311131333} is an apocalyptic number.

It is an amenable number.

1313311131333 is a deficient number, since it is larger than the sum of its proper divisors (714818745531).

1313311131333 is a wasteful number, since it uses less digits than its factorization.

1313311131333 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28026 (or 28023 counting only the distinct ones).

The product of its digits is 2187, while the sum is 27.

Adding to 1313311131333 its reverse (3331311133131), we get a palindrome (4644622264464).

The spelling of 1313311131333 in words is "one trillion, three hundred thirteen billion, three hundred eleven million, one hundred thirty-one thousand, three hundred thirty-three".