10231135112000 has 448 divisors, whose sum is σ = 27922758918912. Its totient is φ = 3682667520000.

The previous prime is 10231135111991. The next prime is 10231135112113. The reversal of 10231135112000 is 21153113201.

It is a super-2 number, since 2×10231135112000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 3657894602 + ... + 3657897398.

Almost surely, 2^{10231135112000} is an apocalyptic number.

10231135112000 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 10231135112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13961379459456).

10231135112000 is an abundant number, since it is smaller than the sum of its proper divisors (17691623806912).

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

10231135112000 is a wasteful number, since it uses less digits than its factorization.

10231135112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3243 (or 3223 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 20.

Adding to 10231135112000 its reverse (21153113201), we get a palindrome (10252288225201).

The spelling of 10231135112000 in words is "ten trillion, two hundred thirty-one billion, one hundred thirty-five million, one hundred twelve thousand".