131023002400 has 144 divisors (see below), whose sum is σ = 329215803840. Its totient is φ = 50898355200.

The previous prime is 131023002389. The next prime is 131023002403. The reversal of 131023002400 is 4200320131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (131023002403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3788386 + ... + 3822814.

It is an arithmetic number, because the mean of its divisors is an integer number (2286220860).

Almost surely, 2^131023002400 is an apocalyptic number.

131023002400 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 131023002400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164607901920).

131023002400 is an abundant number, since it is smaller than the sum of its proper divisors (198192801440).

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

131023002400 is a wasteful number, since it uses less digits than its factorization.

131023002400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34587 (or 34574 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 131023002400 its reverse (4200320131), we get a palindrome (135223322531).

The spelling of 131023002400 in words is "one hundred thirty-one billion, twenty-three million, two thousand, four hundred".