1013564653101 has 432 divisors, whose sum is σ = 2109951427584. Its totient is φ = 455735808000.

The previous prime is 1013564653099. The next prime is 1013564653139.

1013564653101 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 5 + 646 + 5 + 3 + 1 + 0 + 1 = 666.

1013564653101 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1013564653101 - 2¹ = 1013564653099 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013564653901) by changing a digit.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 4205662341 + ... + 4205662581.

Almost surely, 2^{1013564653101} is an apocalyptic number.

1013564653101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1013564653101 is an abundant number, since it is smaller than the sum of its proper divisors (1096386774483).

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

1013564653101 is a wasteful number, since it uses less digits than its factorization.

1013564653101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 1013564653101 in words is "one trillion, thirteen billion, five hundred sixty-four million, six hundred fifty-three thousand, one hundred one".