10321131431100 has 144 divisors (see below), whose sum is σ = 36136102641408. Its totient is φ = 2220344232960.

The previous prime is 10321131431087. The next prime is 10321131431111. The reversal of 10321131431100 is 113413112301.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 144517962 + ... + 144589361.

It is an arithmetic number, because the mean of its divisors is an integer number (250945157232).

Almost surely, 2^{10321131431100} is an apocalyptic number.

10321131431100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10321131431100 is an abundant number, since it is smaller than the sum of its proper divisors (25814971210308).

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

10321131431100 is a wasteful number, since it uses less digits than its factorization.

10321131431100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289107364 (or 289107357 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 10321131431100 its reverse (113413112301), we get a palindrome (10434544543401).

The spelling of 10321131431100 in words is "ten trillion, three hundred twenty-one billion, one hundred thirty-one million, four hundred thirty-one thousand, one hundred".