10131233112300 has 144 divisors (see below), whose sum is σ = 29477365327872. Its totient is φ = 2686526918400.

The previous prime is 10131233112293. The next prime is 10131233112311. The reversal of 10131233112300 is 321133213101.

It is a happy number.

It is a super-3 number, since 3×10131233112300³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 162528939 + ... + 162591261.

It is an arithmetic number, because the mean of its divisors is an integer number (204703925888).

Almost surely, 2^{10131233112300} is an apocalyptic number.

10131233112300 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 10131233112300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14738682663936).

10131233112300 is an abundant number, since it is smaller than the sum of its proper divisors (19346132215572).

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

10131233112300 is a wasteful number, since it uses less digits than its factorization.

10131233112300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65368 (or 65361 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 10131233112300 its reverse (321133213101), we get a palindrome (10452366325401).

The spelling of 10131233112300 in words is "ten trillion, one hundred thirty-one billion, two hundred thirty-three million, one hundred twelve thousand, three hundred".