1013004214040 has 128 divisors (see below), whose sum is σ = 2927209743360. Its totient is φ = 306660017664.

The previous prime is 1013004214031. The next prime is 1013004214049. The reversal of 1013004214040 is 404124003101.

It is an interprime number because it is at equal distance from previous prime (1013004214031) and next prime (1013004214049).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013004214049) 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 31 ways as a sum of consecutive naturals, for example, 5966234 + ... + 6133673.

It is an arithmetic number, because the mean of its divisors is an integer number (22868826120).

Almost surely, 2^{1013004214040} is an apocalyptic number.

1013004214040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1013004214040 is an abundant number, since it is smaller than the sum of its proper divisors (1914205529320).

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

1013004214040 is a wasteful number, since it uses less digits than its factorization.

1013004214040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12099961 (or 12099957 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 1013004214040 its reverse (404124003101), we get a palindrome (1417128217141).

The spelling of 1013004214040 in words is "one trillion, thirteen billion, four million, two hundred fourteen thousand, forty".