1013540554320 has 320 divisors, whose sum is σ = 3646865633280. Its totient is φ = 228055855104.

The previous prime is 1013540554297. The next prime is 1013540554331. The reversal of 1013540554320 is 234550453101.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 305373621 + ... + 305376939.

It is an arithmetic number, because the mean of its divisors is an integer number (11396455104).

Almost surely, 2^{1013540554320} is an apocalyptic number.

1013540554320 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 1013540554320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1823432816640).

1013540554320 is an abundant number, since it is smaller than the sum of its proper divisors (2633325078960).

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

1013540554320 is a wasteful number, since it uses less digits than its factorization.

1013540554320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6122 (or 6116 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 33.

The spelling of 1013540554320 in words is "one trillion, thirteen billion, five hundred forty million, five hundred fifty-four thousand, three hundred twenty".