1013309766720 has 392 divisors, whose sum is σ = 3677120047320. Its totient is φ = 265782435840.

The previous prime is 1013309766713. The next prime is 1013309766727. The reversal of 1013309766720 is 276679033101.

1013309766720 is a `hidden beast` number, since 101 + 330 + 97 + 66 + 72 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1013309766713) and next prime (1013309766727).

It can be written as a sum of positive squares in 4 ways, for example, as 105116014656 + 908193752064 = 324216^2 + 952992^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1013309766727) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 14194476 + ... + 14265684.

Almost surely, 2^{1013309766720} is an apocalyptic number.

1013309766720 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 1013309766720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1838560023660).

1013309766720 is an abundant number, since it is smaller than the sum of its proper divisors (2663810280600).

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

1013309766720 is an frugal number, since it uses more digits than its factorization.

1013309766720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71305 (or 71280 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 45.

The spelling of 1013309766720 in words is "one trillion, thirteen billion, three hundred nine million, seven hundred sixty-six thousand, seven hundred twenty".