131240322400 has 144 divisors (see below), whose sum is σ = 351061905600. Its totient is φ = 47512793600.

The previous prime is 131240322331. The next prime is 131240322407. The reversal of 131240322400 is 4223042131.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131240322407) 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, 1964751 + ... + 2030449.

It is an arithmetic number, because the mean of its divisors is an integer number (2437929900).

Almost surely, 2^131240322400 is an apocalyptic number.

131240322400 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 131240322400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175530952800).

131240322400 is an abundant number, since it is smaller than the sum of its proper divisors (219821583200).

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

131240322400 is a wasteful number, since it uses less digits than its factorization.

131240322400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65957 (or 65944 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 131240322400 its reverse (4223042131), we get a palindrome (135463364531).

The spelling of 131240322400 in words is "one hundred thirty-one billion, two hundred forty million, three hundred twenty-two thousand, four hundred".