10131131340 has 144 divisors (see below), whose sum is σ = 33731582976. Its totient is φ = 2440886400.

The previous prime is 10131131299. The next prime is 10131131347. The reversal of 10131131340 is 4313113101.

10131131340 is a `hidden beast` number, since 1 + 0 + 1 + 311 + 313 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10131131347) 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, 307045 + ... + 338435.

It is an arithmetic number, because the mean of its divisors is an integer number (234247104).

Almost surely, 2^10131131340 is an apocalyptic number.

10131131340 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 10131131340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16865791488).

10131131340 is an abundant number, since it is smaller than the sum of its proper divisors (23600451636).

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

10131131340 is a wasteful number, since it uses less digits than its factorization.

10131131340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31580 (or 31575 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 10131131340 its reverse (4313113101), we get a palindrome (14444244441).

It can be divided in two parts, 101311 and 31340, that added together give a cube (132651 = 51³).

The spelling of 10131131340 in words is "ten billion, one hundred thirty-one million, one hundred thirty-one thousand, three hundred forty".