1013079005712 has 160 divisors (see below), whose sum is σ = 2928615830400. Its totient is φ = 335292784128.

The previous prime is 1013079005707. The next prime is 1013079005767. The reversal of 1013079005712 is 2175009703101.

1013079005712 is a `hidden beast` number, since 1 + 0 + 13 + 0 + 79 + 0 + 0 + 571 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 78084858 + ... + 78097830.

It is an arithmetic number, because the mean of its divisors is an integer number (18303848940).

Almost surely, 2^{1013079005712} is an apocalyptic number.

1013079005712 is a gapful number since it is divisible by the number (12) 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 1013079005712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1464307915200).

1013079005712 is an abundant number, since it is smaller than the sum of its proper divisors (1915536824688).

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

1013079005712 is a wasteful number, since it uses less digits than its factorization.

1013079005712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14262 (or 14250 counting only the distinct ones).

The product of its (nonzero) digits is 13230, while the sum is 36.

It can be divided in two parts, 101307 and 9005712, that added together give a palindrome (9107019).

The spelling of 1013079005712 in words is "one trillion, thirteen billion, seventy-nine million, five thousand, seven hundred twelve".