10031012131200 has 192 divisors, whose sum is σ = 33041924712720. Its totient is φ = 2674752102400.

The previous prime is 10031012131199. The next prime is 10031012131201. The reversal of 10031012131200 is 213121013001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10031012131199) and next prime (10031012131201).

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10031012131200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10031012131201) 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 23 ways as a sum of consecutive naturals, for example, 193097230 + ... + 193149170.

Almost surely, 2^{10031012131200} is an apocalyptic number.

10031012131200 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 10031012131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16520962356360).

10031012131200 is an abundant number, since it is smaller than the sum of its proper divisors (23010912581520).

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

10031012131200 is a wasteful number, since it uses less digits than its factorization.

10031012131200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72085 (or 72068 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 10031012131200 its reverse (213121013001), we get a palindrome (10244133144201).

The spelling of 10031012131200 in words is "ten trillion, thirty-one billion, twelve million, one hundred thirty-one thousand, two hundred".