10131310112300 has 144 divisors (see below), whose sum is σ = 23911582269120. Its totient is φ = 3703601525760.

The previous prime is 10131310112293. The next prime is 10131310112309. The reversal of 10131310112300 is 321101313101.

10131310112300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10131310112300² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10131310112309) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 939035306 + ... + 939046094.

Almost surely, 2^{10131310112300} is an apocalyptic number.

10131310112300 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 10131310112300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11955791134560).

10131310112300 is an abundant number, since it is smaller than the sum of its proper divisors (13780272156820).

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

10131310112300 is a wasteful number, since it uses less digits than its factorization.

10131310112300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17932 (or 17925 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 10131310112300 its reverse (321101313101), we get a palindrome (10452411425401).

The spelling of 10131310112300 in words is "ten trillion, one hundred thirty-one billion, three hundred ten million, one hundred twelve thousand, three hundred".