1000013146704 has 320 divisors, whose sum is σ = 3386270764800. Its totient is φ = 278559129600.

The previous prime is 1000013146703. The next prime is 1000013146729. The reversal of 1000013146704 is 4076413100001.

It is a happy number.

1000013146704 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000013146703) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14854432 + ... + 14921600.

It is an arithmetic number, because the mean of its divisors is an integer number (10582096140).

Almost surely, 2^{1000013146704} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1000013146704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1693135382400).

1000013146704 is an abundant number, since it is smaller than the sum of its proper divisors (2386257618096).

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

1000013146704 is a wasteful number, since it uses less digits than its factorization.

1000013146704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67451 (or 67439 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

Adding to 1000013146704 its reverse (4076413100001), we get a palindrome (5076426246705).

The spelling of 1000013146704 in words is "one trillion, thirteen million, one hundred forty-six thousand, seven hundred four".