131002401000 has 128 divisors (see below), whose sum is σ = 408860524800. Its totient is φ = 34922604800.

The previous prime is 131002400989. The next prime is 131002401001. The reversal of 131002401000 is 104200131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (131002401001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13474141 + ... + 13483859.

It is an arithmetic number, because the mean of its divisors is an integer number (3194222850).

Almost surely, 2^131002401000 is an apocalyptic number.

131002401000 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 131002401000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204430262400).

131002401000 is an abundant number, since it is smaller than the sum of its proper divisors (277858123800).

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

131002401000 is a wasteful number, since it uses less digits than its factorization.

131002401000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14236 (or 14222 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 131002401000 its reverse (104200131), we get a palindrome (131106601131).

The spelling of 131002401000 in words is "one hundred thirty-one billion, two million, four hundred one thousand".