1013743343520 has 120 divisors (see below), whose sum is σ = 3577669262244. Its totient is φ = 270331554816.

The previous prime is 1013743343519. The next prime is 1013743343521. The reversal of 1013743343520 is 253433473101.

1013743343520 is a `hidden beast` number, since 1 + 0 + 137 + 433 + 43 + 52 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1013743343519) and next prime (1013743343521).

It can be written as a sum of positive squares in 2 ways, for example, as 976468090896 + 37275252624 = 988164^2 + 193068^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×1013743343520² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1013743343521) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 39097509 + ... + 39123428.

Almost surely, 2^{1013743343520} is an apocalyptic number.

1013743343520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1013743343520 is an abundant number, since it is smaller than the sum of its proper divisors (2563925918724).

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

1013743343520 is an equidigital number, since it uses as much as digits as its factorization.

1013743343520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78220964 (or 78220947 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The spelling of 1013743343520 in words is "one trillion, thirteen billion, seven hundred forty-three million, three hundred forty-three thousand, five hundred twenty".