10131113100 has 144 divisors (see below), whose sum is σ = 30544045056. Its totient is φ = 2589792000.

The previous prime is 10131113099. The next prime is 10131113123. The reversal of 10131113100 is 131113101.

It is a super-2 number, since 2×10131113100² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 990010 + ... + 1000190.

It is an arithmetic number, because the mean of its divisors is an integer number (212111424).

Almost surely, 2^10131113100 is an apocalyptic number.

10131113100 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 10131113100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15272022528).

10131113100 is an abundant number, since it is smaller than the sum of its proper divisors (20412931956).

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

10131113100 is a wasteful number, since it uses less digits than its factorization.

10131113100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10336 (or 10329 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 12.

Adding to 10131113100 its reverse (131113101), we get a palindrome (10262226201).

Subtracting from 10131113100 its reverse (131113101), we obtain a palindrome (9999999999).

It can be divided in two parts, 101311 and 13100, that added together give a palindrome (114411).

The spelling of 10131113100 in words is "ten billion, one hundred thirty-one million, one hundred thirteen thousand, one hundred".