1320129574413 has 32 divisors (see below), whose sum is σ = 1939405370112. Its totient is φ = 793777536000.

The previous prime is 1320129574397. The next prime is 1320129574451. The reversal of 1320129574413 is 3144759210231.

It is not a de Polignac number, because 1320129574413 - 2⁴ = 1320129574397 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1320129574513) 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 31 ways as a sum of consecutive naturals, for example, 1478220 + ... + 2196677.

It is an arithmetic number, because the mean of its divisors is an integer number (60606417816).

Almost surely, 2^{1320129574413} is an apocalyptic number.

1320129574413 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1320129574413 is a deficient number, since it is larger than the sum of its proper divisors (619275795699).

1320129574413 is a wasteful number, since it uses less digits than its factorization.

1320129574413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3675125.

The product of its (nonzero) digits is 181440, while the sum is 42.

The spelling of 1320129574413 in words is "one trillion, three hundred twenty billion, one hundred twenty-nine million, five hundred seventy-four thousand, four hundred thirteen".