10030111311000 has 512 divisors, whose sum is σ = 34491478993920. Its totient is φ = 2406491136000.

The previous prime is 10030111310981. The next prime is 10030111311001. The reversal of 10030111311000 is 11311103001.

It is a super-2 number, since 2×10030111311000² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10030111311001) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 3270331467 + ... + 3270334533.

It is an arithmetic number, because the mean of its divisors is an integer number (67366169910).

Almost surely, 2^{10030111311000} is an apocalyptic number.

10030111311000 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 10030111311000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17245739496960).

10030111311000 is an abundant number, since it is smaller than the sum of its proper divisors (24461367682920).

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

10030111311000 is a wasteful number, since it uses less digits than its factorization.

10030111311000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4092 (or 4078 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 12.

Adding to 10030111311000 its reverse (11311103001), we get a palindrome (10041422414001).

The spelling of 10030111311000 in words is "ten trillion, thirty billion, one hundred eleven million, three hundred eleven thousand".