1030311113000 has 128 divisors (see below), whose sum is σ = 2597069049120. Its totient is φ = 380322201600.

The previous prime is 1030311112997. The next prime is 1030311113009. The reversal of 1030311113000 is 3111130301.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 53182816996 + 977128296004 = 230614^2 + 988498^2 .

It is not an unprimeable number, because it can be changed into a prime (1030311113009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64641032 + ... + 64656968.

Almost surely, 2^{1030311113000} is an apocalyptic number.

1030311113000 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 1030311113000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1298534524560).

1030311113000 is an abundant number, since it is smaller than the sum of its proper divisors (1566757936120).

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

1030311113000 is a wasteful number, since it uses less digits than its factorization.

1030311113000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20944 (or 20930 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 14.

Adding to 1030311113000 its reverse (3111130301), we get a palindrome (1033422243301).

The spelling of 1030311113000 in words is "one trillion, thirty billion, three hundred eleven million, one hundred thirteen thousand".