1030113300000 has 1152 divisors, whose sum is σ = 3781080995328. Its totient is φ = 244408320000.

The previous prime is 1030113299981. The next prime is 1030113300107. The reversal of 1030113300000 is 33110301.

It is a super-3 number, since 3×1030113300000³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10001099949 + ... + 10001100051.

It is an arithmetic number, because the mean of its divisors is an integer number (3282188364).

Almost surely, 2^{1030113300000} is an apocalyptic number.

1030113300000 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 1030113300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1890540497664).

1030113300000 is an abundant number, since it is smaller than the sum of its proper divisors (2750967695328).

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

1030113300000 is a wasteful number, since it uses less digits than its factorization.

1030113300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 12.

Adding to 1030113300000 its reverse (33110301), we get a palindrome (1030146410301).

The spelling of 1030113300000 in words is "one trillion, thirty billion, one hundred thirteen million, three hundred thousand".