1013570938224 has 240 divisors, whose sum is σ = 3156805972320. Its totient is φ = 301596825600.

The previous prime is 1013570938189. The next prime is 1013570938231. The reversal of 1013570938224 is 4228390753101.

It is a happy number.

1013570938224 is a `hidden beast` number, since 10 + 13 + 570 + 9 + 38 + 2 + 24 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1013570938224.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8067762 + ... + 8192430.

It is an arithmetic number, because the mean of its divisors is an integer number (13153358218).

Almost surely, 2^{1013570938224} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1013570938224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1578402986160).

1013570938224 is an abundant number, since it is smaller than the sum of its proper divisors (2143235034096).

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

1013570938224 is a wasteful number, since it uses less digits than its factorization.

1013570938224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124840 (or 124831 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 1013570938224 in words is "one trillion, thirteen billion, five hundred seventy million, nine hundred thirty-eight thousand, two hundred twenty-four".