1004201400013 has 32 divisors (see below), whose sum is σ = 1235352860928. Its totient is φ = 796661222400.

The previous prime is 1004201400001. The next prime is 1004201400049. The reversal of 1004201400013 is 3100041024001.

It is a cyclic number.

It is not a de Polignac number, because 1004201400013 - 2¹³ = 1004201391821 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1004201400013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1004201400053) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42286323 + ... + 42310063.

It is an arithmetic number, because the mean of its divisors is an integer number (38604776904).

Almost surely, 2^{1004201400013} is an apocalyptic number.

It is an amenable number.

1004201400013 is a deficient number, since it is larger than the sum of its proper divisors (231151460915).

1004201400013 is a wasteful number, since it uses less digits than its factorization.

1004201400013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29653.

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 1004201400013 its reverse (3100041024001), we get a palindrome (4104242424014).

The spelling of 1004201400013 in words is "one trillion, four billion, two hundred one million, four hundred thousand, thirteen".