10030131321100 has 144 divisors (see below), whose sum is σ = 24391547278560. Its totient is φ = 3547906099200.

The previous prime is 10030131321083. The next prime is 10030131321103. The reversal of 10030131321100 is 112313103001.

It is a super-2 number, since 2×10030131321100² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10030131321103) 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 47 ways as a sum of consecutive naturals, for example, 187071096 + ... + 187124704.

It is an arithmetic number, because the mean of its divisors is an integer number (169385744990).

Almost surely, 2^{10030131321100} is an apocalyptic number.

10030131321100 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 10030131321100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12195773639280).

10030131321100 is an abundant number, since it is smaller than the sum of its proper divisors (14361415957460).

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

10030131321100 is a wasteful number, since it uses less digits than its factorization.

10030131321100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58268 (or 58261 counting only the distinct ones).

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

Adding to 10030131321100 its reverse (112313103001), we get a palindrome (10142444424101).

The spelling of 10030131321100 in words is "ten trillion, thirty billion, one hundred thirty-one million, three hundred twenty-one thousand, one hundred".