1011013000000 has 98 divisors (see below), whose sum is σ = 2507756533118. Its totient is φ = 404404800000.

The previous prime is 1011012999973. The next prime is 1011013000007. The reversal of 1011013000000 is 3101101.

It is a happy number.

It can be written as a sum of positive squares in 7 ways, for example, as 970351084096 + 40661915904 = 985064^2 + 201648^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011013000007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 494494 + ... + 1505506.

Almost surely, 2^{1011013000000} is an apocalyptic number.

1011013000000 is a gapful number since it is divisible by the number (10) 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 1011013000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1253878266559).

1011013000000 is an abundant number, since it is smaller than the sum of its proper divisors (1496743533118).

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

1011013000000 is an frugal number, since it uses more digits than its factorization.

1011013000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1011055 (or 1011020 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 7.

Adding to 1011013000000 its reverse (3101101), we get a palindrome (1011016101101).

The spelling of 1011013000000 in words is "one trillion, eleven billion, thirteen million", and thus it is an aban number and an uban number.