1013785315413 has 12 divisors (see below), whose sum is σ = 1463690041920. Its totient is φ = 623867886096.

The previous prime is 1013785315399. The next prime is 1013785315427. The reversal of 1013785315413 is 3145135873101.

It is an interprime number because it is at equal distance from previous prime (1013785315399) and next prime (1013785315427).

It is not a de Polignac number, because 1013785315413 - 2³⁰ = 1012711573589 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013785715413) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 999787773 + ... + 999788786.

It is an arithmetic number, because the mean of its divisors is an integer number (121974170160).

Almost surely, 2^{1013785315413} is an apocalyptic number.

1013785315413 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1013785315413 is a deficient number, since it is larger than the sum of its proper divisors (449904726507).

1013785315413 is a wasteful number, since it uses less digits than its factorization.

1013785315413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1999576588 (or 1999576575 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 42.

The spelling of 1013785315413 in words is "one trillion, thirteen billion, seven hundred eighty-five million, three hundred fifteen thousand, four hundred thirteen".