1013011000000 has 196 divisors, whose sum is σ = 2525144396488. Its totient is φ = 403200000000.

The previous prime is 1013010999953. The next prime is 1013011000013. The reversal of 1013011000000 is 1103101.

It is a happy number.

It is a super-2 number, since 2×1013011000000² (a number of 25 digits) contains 22 as substring.

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 27 ways as a sum of consecutive naturals, for example, 210997600 + ... + 211002400.

It is an arithmetic number, because the mean of its divisors is an integer number (12883389778).

Almost surely, 2^{1013011000000} is an apocalyptic number.

1013011000000 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 1013011000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1262572198244).

1013011000000 is an abundant number, since it is smaller than the sum of its proper divisors (1512133396488).

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

1013011000000 is an frugal number, since it uses more digits than its factorization.

1013011000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5054 (or 5019 counting only the distinct ones).

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

Adding to 1013011000000 its reverse (1103101), we get a palindrome (1013012103101).

The spelling of 1013011000000 in words is "one trillion, thirteen billion, eleven million", and thus it is an aban number and an uban number.