1013634416421 has 48 divisors (see below), whose sum is σ = 1672799663808. Its totient is φ = 608241312000.

The previous prime is 1013634416407. The next prime is 1013634416423. The reversal of 1013634416421 is 1246144363101.

1013634416421 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 6 + 3 + 4 + 4 + 1 + 642 + 1 = 666.

It is not a de Polignac number, because 1013634416421 - 2²⁷ = 1013500198693 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013634416423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1607316 + ... + 2147261.

It is an arithmetic number, because the mean of its divisors is an integer number (34849992996).

Almost surely, 2^{1013634416421} is an apocalyptic number.

1013634416421 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1013634416421 is a deficient number, since it is larger than the sum of its proper divisors (659165247387).

1013634416421 is a wasteful number, since it uses less digits than its factorization.

1013634416421 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3754704 (or 3754692 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

Adding to 1013634416421 its reverse (1246144363101), we get a palindrome (2259778779522).

The spelling of 1013634416421 in words is "one trillion, thirteen billion, six hundred thirty-four million, four hundred sixteen thousand, four hundred twenty-one".