1013143726521 has 48 divisors (see below), whose sum is σ = 1545617324160. Its totient is φ = 663055424640.

The previous prime is 1013143726459. The next prime is 1013143726537. The reversal of 1013143726521 is 1256273413101.

1013143726521 is a `hidden beast` number, since 10 + 13 + 1 + 43 + 72 + 6 + 521 = 666.

It is not a de Polignac number, because 1013143726521 - 2⁹ = 1013143726009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1013143726541) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3893935 + ... + 4145963.

It is an arithmetic number, because the mean of its divisors is an integer number (32200360920).

Almost surely, 2^{1013143726521} is an apocalyptic number.

It is an amenable number.

1013143726521 is a deficient number, since it is larger than the sum of its proper divisors (532473597639).

1013143726521 is an equidigital number, since it uses as much as digits as its factorization.

1013143726521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252348 (or 252336 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 1013143726521 in words is "one trillion, thirteen billion, one hundred forty-three million, seven hundred twenty-six thousand, five hundred twenty-one".