1030013310000 has 200 divisors, whose sum is σ = 3326188528960. Its totient is φ = 274573728000.

The previous prime is 1030013309977. The next prime is 1030013310061. The reversal of 1030013310000 is 133100301.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×1030013310000² (a number of 25 digits) contains 22 as substring.

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 39 ways as a sum of consecutive naturals, for example, 138086271 + ... + 138093729.

Almost surely, 2^{1030013310000} is an apocalyptic number.

1030013310000 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 1030013310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1663094264480).

1030013310000 is an abundant number, since it is smaller than the sum of its proper divisors (2296175218960).

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

1030013310000 is an equidigital number, since it uses as much as digits as its factorization.

1030013310000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12093 (or 12072 counting only the distinct ones).

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

Adding to 1030013310000 its reverse (133100301), we get a palindrome (1030146410301).

The spelling of 1030013310000 in words is "one trillion, thirty billion, thirteen million, three hundred ten thousand".