10131100000 has 288 divisors, whose sum is σ = 29269501632. Its totient is φ = 3379200000.

The previous prime is 10131099997. The next prime is 10131100009. The reversal of 10131100000 is 113101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10131100009) 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, 28699824 + ... + 28700176.

It is an arithmetic number, because the mean of its divisors is an integer number (101630214).

Almost surely, 2^10131100000 is an apocalyptic number.

10131100000 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 10131100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14634750816).

10131100000 is an abundant number, since it is smaller than the sum of its proper divisors (19138401632).

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

10131100000 is an frugal number, since it uses more digits than its factorization.

10131100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 7.

Adding to 10131100000 its reverse (113101), we get a palindrome (10131213101).

The spelling of 10131100000 in words is "ten billion, one hundred thirty-one million, one hundred thousand".