1013914000320 has 224 divisors, whose sum is σ = 3475874045952. Its totient is φ = 248926015488.

The previous prime is 1013914000291. The next prime is 1013914000331. The reversal of 1013914000320 is 230004193101.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4673779 + ... + 4885901.

It is an arithmetic number, because the mean of its divisors is an integer number (15517294848).

Almost surely, 2^{1013914000320} is an apocalyptic number.

1013914000320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1013914000320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1737937022976).

1013914000320 is an abundant number, since it is smaller than the sum of its proper divisors (2461960045632).

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

1013914000320 is a wasteful number, since it uses less digits than its factorization.

1013914000320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212539 (or 212529 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 1013914000320 its reverse (230004193101), we get a palindrome (1243918193421).

The spelling of 1013914000320 in words is "one trillion, thirteen billion, nine hundred fourteen million, three hundred twenty", and thus it is an aban number.