1013569413120 has 1008 divisors, whose sum is σ = 3991955700096. Its totient is φ = 237463142400.

The previous prime is 1013569413113. The next prime is 1013569413139. The reversal of 1013569413120 is 213149653101.

1013569413120 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 569 + 41 + 31 + 20 = 666.

1013569413120 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 (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1382768274 + ... + 1382769006.

It is an arithmetic number, because the mean of its divisors is an integer number (3960273512).

Almost surely, 2^{1013569413120} is an apocalyptic number.

1013569413120 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 1013569413120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1995977850048).

1013569413120 is an abundant number, since it is smaller than the sum of its proper divisors (2978386286976).

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

1013569413120 is a wasteful number, since it uses less digits than its factorization.

1013569413120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 823 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 1013569413120 in words is "one trillion, thirteen billion, five hundred sixty-nine million, four hundred thirteen thousand, one hundred twenty".