1313211311001 has 40 divisors (see below), whose sum is σ = 1967877293184. Its totient is φ = 872725946400.

The previous prime is 1313211310933. The next prime is 1313211311081. The reversal of 1313211311001 is 1001131123131.

1313211311001 is a `hidden beast` number, since 1 + 31 + 321 + 1 + 311 + 0 + 0 + 1 = 666.

It is not a de Polignac number, because 1313211311001 - 2¹¹ = 1313211308953 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1313211311081) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 39398995 + ... + 39432311.

Almost surely, 2^{1313211311001} is an apocalyptic number.

It is an amenable number.

1313211311001 is a deficient number, since it is larger than the sum of its proper divisors (654665982183).

1313211311001 is a wasteful number, since it uses less digits than its factorization.

1313211311001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34843 (or 34834 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 1313211311001 its reverse (1001131123131), we get a palindrome (2314342434132).

The spelling of 1313211311001 in words is "one trillion, three hundred thirteen billion, two hundred eleven million, three hundred eleven thousand, one".