1353035320401 has 16 divisors (see below), whose sum is σ = 1853024367168. Its totient is φ = 877540680000.

The previous prime is 1353035320379. The next prime is 1353035320409. The reversal of 1353035320401 is 1040235303531.

It is not a de Polignac number, because 1353035320401 - 2²¹ = 1353033223249 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1353035320409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 226666 + ... + 1660556.

It is an arithmetic number, because the mean of its divisors is an integer number (115814022948).

Almost surely, 2^{1353035320401} is an apocalyptic number.

It is an amenable number.

1353035320401 is a deficient number, since it is larger than the sum of its proper divisors (499989046767).

1353035320401 is a wasteful number, since it uses less digits than its factorization.

1353035320401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1442432.

The product of its (nonzero) digits is 16200, while the sum is 30.

The spelling of 1353035320401 in words is "one trillion, three hundred fifty-three billion, thirty-five million, three hundred twenty thousand, four hundred one".