10500131400 has 192 divisors, whose sum is σ = 35791994880. Its totient is φ = 2525241600.

The previous prime is 10500131399. The next prime is 10500131407. The reversal of 10500131400 is 413100501.

It is a super-2 number, since 2×10500131400² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10500131400.

It is not an unprimeable number, because it can be changed into a prime (10500131407) 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, 831937 + ... + 844463.

It is an arithmetic number, because the mean of its divisors is an integer number (186416640).

Almost surely, 2^10500131400 is an apocalyptic number.

10500131400 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 10500131400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17895997440).

10500131400 is an abundant number, since it is smaller than the sum of its proper divisors (25291863480).

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

10500131400 is a wasteful number, since it uses less digits than its factorization.

10500131400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12684 (or 12675 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

Adding to 10500131400 its reverse (413100501), we get a palindrome (10913231901).

The spelling of 10500131400 in words is "ten billion, five hundred million, one hundred thirty-one thousand, four hundred".