1013000313012 has 96 divisors (see below), whose sum is σ = 2594810695680. Its totient is φ = 306383938560.

The previous prime is 1013000313007. The next prime is 1013000313089. The reversal of 1013000313012 is 2103130003101.

It is a junction number, because it is equal to n+sod(n) for n = 1013000312982 and 1013000313000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53178 + ... + 1424369.

It is an arithmetic number, because the mean of its divisors is an integer number (27029278080).

Almost surely, 2^{1013000313012} is an apocalyptic number.

1013000313012 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 1013000313012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1297405347840).

1013000313012 is an abundant number, since it is smaller than the sum of its proper divisors (1581810382668).

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

1013000313012 is a wasteful number, since it uses less digits than its factorization.

1013000313012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1477701 (or 1477699 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 1013000313012 its reverse (2103130003101), we get a palindrome (3116130316113).

The spelling of 1013000313012 in words is "one trillion, thirteen billion, three hundred thirteen thousand, twelve".