1353311327313 has 48 divisors (see below), whose sum is σ = 2136218273280. Its totient is φ = 818756294400.

The previous prime is 1353311327287. The next prime is 1353311327341. The reversal of 1353311327313 is 3137231133531.

1353311327313 is a `hidden beast` number, since 1 + 3 + 5 + 3 + 3 + 11 + 327 + 313 = 666.

It is not a de Polignac number, because 1353311327313 - 2¹⁷ = 1353311196241 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1353311325313) 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, 157853095 + ... + 157861667.

It is an arithmetic number, because the mean of its divisors is an integer number (44504547360).

Almost surely, 2^{1353311327313} is an apocalyptic number.

It is an amenable number.

1353311327313 is a deficient number, since it is larger than the sum of its proper divisors (782906945967).

1353311327313 is a wasteful number, since it uses less digits than its factorization.

1353311327313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11190 (or 11187 counting only the distinct ones).

The product of its digits is 51030, while the sum is 36.

The spelling of 1353311327313 in words is "one trillion, three hundred fifty-three billion, three hundred eleven million, three hundred twenty-seven thousand, three hundred thirteen".