1331137405013 has 8 divisors (see below), whose sum is σ = 1434979155456. Its totient is φ = 1227502306800.

The previous prime is 1331137404997. The next prime is 1331137405069. The reversal of 1331137405013 is 3105047311331.

It is a happy number.

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

It is a cyclic number.

It is not a de Polignac number, because 1331137405013 - 2⁴ = 1331137404997 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1331137405813) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51649673 + ... + 51675438.

It is an arithmetic number, because the mean of its divisors is an integer number (179372394432).

Almost surely, 2^{1331137405013} is an apocalyptic number.

1331137405013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1331137405013 is a deficient number, since it is larger than the sum of its proper divisors (103841750443).

1331137405013 is a wasteful number, since it uses less digits than its factorization.

1331137405013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103326115.

The product of its (nonzero) digits is 11340, while the sum is 32.

The spelling of 1331137405013 in words is "one trillion, three hundred thirty-one billion, one hundred thirty-seven million, four hundred five thousand, thirteen".