1013928211296 has 576 divisors, whose sum is σ = 3924476075520. Its totient is φ = 239764561920.

The previous prime is 1013928211291. The next prime is 1013928211321. The reversal of 1013928211296 is 6921128293101.

1013928211296 is a `hidden beast` number, since 10 + 139 + 2 + 8 + 211 + 296 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013928211291) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21020935 + ... + 21069113.

It is an arithmetic number, because the mean of its divisors is an integer number (6813326520).

Almost surely, 2^{1013928211296} is an apocalyptic number.

1013928211296 is a gapful number since it is divisible by the number (16) 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 1013928211296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1962238037760).

1013928211296 is an abundant number, since it is smaller than the sum of its proper divisors (2910547864224).

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

1013928211296 is a wasteful number, since it uses less digits than its factorization.

1013928211296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48299 (or 48288 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The spelling of 1013928211296 in words is "one trillion, thirteen billion, nine hundred twenty-eight million, two hundred eleven thousand, two hundred ninety-six".