1013358947328 has 440 divisors, whose sum is σ = 3724443659552. Its totient is φ = 267257511936.

The previous prime is 1013358947327. The next prime is 1013358947353. The reversal of 1013358947328 is 8237498533101.

1013358947328 is a `hidden beast` number, since 1 + 0 + 1 + 33 + 589 + 4 + 7 + 3 + 28 = 666.

It is a super-2 number, since 2×1013358947328² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1013358947327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7480776 + ... + 7615032.

Almost surely, 2^{1013358947328} is an apocalyptic number.

1013358947328 is a gapful number since it is divisible by the number (18) 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 1013358947328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1862221829776).

1013358947328 is an abundant number, since it is smaller than the sum of its proper divisors (2711084712224).

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

1013358947328 is a wasteful number, since it uses less digits than its factorization.

1013358947328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134309 (or 134282 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 1013358947328 in words is "one trillion, thirteen billion, three hundred fifty-eight million, nine hundred forty-seven thousand, three hundred twenty-eight".