10131033011200 has 66 divisors (see below), whose sum is σ = 25112693883446. Its totient is φ = 4052413194240.

The previous prime is 10131033011189. The next prime is 10131033011233. The reversal of 10131033011200 is 211033013101.

It can be written as a sum of positive squares in 3 ways, for example, as 1510185378816 + 8620847632384 = 1228896^2 + 2936128^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

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 5 ways as a sum of consecutive naturals, for example, 197846139 + ... + 197897338.

Almost surely, 2^{10131033011200} is an apocalyptic number.

10131033011200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10131033011200 is an abundant number, since it is smaller than the sum of its proper divisors (14981660872246).

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

10131033011200 is an equidigital number, since it uses as much as digits as its factorization.

10131033011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395743507 (or 395743484 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 10131033011200 its reverse (211033013101), we get a palindrome (10342066024301).

The spelling of 10131033011200 in words is "ten trillion, one hundred thirty-one billion, thirty-three million, eleven thousand, two hundred".