1351113712720 has 80 divisors (see below), whose sum is σ = 3171203369280. Its totient is φ = 535309212672.

The previous prime is 1351113712717. The next prime is 1351113712777. The reversal of 1351113712720 is 272173111531.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

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, 101283811 + ... + 101297149.

It is an arithmetic number, because the mean of its divisors is an integer number (39640042116).

Almost surely, 2^{1351113712720} is an apocalyptic number.

1351113712720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1351113712720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1585601684640).

1351113712720 is an abundant number, since it is smaller than the sum of its proper divisors (1820089656560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1351113712720 is a wasteful number, since it uses less digits than its factorization.

1351113712720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25292 (or 25286 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 34.

The spelling of 1351113712720 in words is "one trillion, three hundred fifty-one billion, one hundred thirteen million, seven hundred twelve thousand, seven hundred twenty".