1013445413541 has 144 divisors (see below), whose sum is σ = 1694640310272. Its totient is φ = 578689531200.

The previous prime is 1013445413509. The next prime is 1013445413549. The reversal of 1013445413541 is 1453145443101.

1013445413541 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 44 + 541 + 35 + 41 = 666.

It is not a de Polignac number, because 1013445413541 - 2⁵ = 1013445413509 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1013445413496 and 1013445413505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013445413549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1249624026 + ... + 1249624836.

It is an arithmetic number, because the mean of its divisors is an integer number (11768335488).

Almost surely, 2^{1013445413541} is an apocalyptic number.

1013445413541 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1013445413541 is a deficient number, since it is larger than the sum of its proper divisors (681194896731).

1013445413541 is a wasteful number, since it uses less digits than its factorization.

1013445413541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1204 (or 1178 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 1013445413541 in words is "one trillion, thirteen billion, four hundred forty-five million, four hundred thirteen thousand, five hundred forty-one".