10131031323200 has 168 divisors, whose sum is σ = 25554878275968. Its totient is φ = 3951554181120.

The previous prime is 10131031323191. The next prime is 10131031323229. The reversal of 10131031323200 is 232313013101.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13455929 + ... + 14188871.

Almost surely, 2^{10131031323200} is an apocalyptic number.

10131031323200 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 10131031323200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12777439137984).

10131031323200 is an abundant number, since it is smaller than the sum of its proper divisors (15423846952768).

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

10131031323200 is a wasteful number, since it uses less digits than its factorization.

10131031323200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 733181 (or 733166 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 10131031323200 its reverse (232313013101), we get a palindrome (10363344336301).

The spelling of 10131031323200 in words is "ten trillion, one hundred thirty-one billion, thirty-one million, three hundred twenty-three thousand, two hundred".