1013713417472 has 90 divisors (see below), whose sum is σ = 2360572491018. Its totient is φ = 434448344064.

The previous prime is 1013713417471. The next prime is 1013713417481. The reversal of 1013713417472 is 2747143173101.

It can be written as a sum of positive squares in only one way, i.e., 954263274496 + 59450142976 = 976864^2 + 243824^2 .

It is a super-2 number, since 2×1013713417472² (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013713417471) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 209963 + ... + 1439274.

Almost surely, 2^{1013713417472} is an apocalyptic number.

It is an amenable number.

1013713417472 is an abundant number, since it is smaller than the sum of its proper divisors (1346859073546).

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

1013713417472 is an frugal number, since it uses more digits than its factorization.

1013713417472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1649281 (or 1649246 counting only the distinct ones).

The product of its (nonzero) digits is 98784, while the sum is 41.

The spelling of 1013713417472 in words is "one trillion, thirteen billion, seven hundred thirteen million, four hundred seventeen thousand, four hundred seventy-two".