131031001241000 has 256 divisors, whose sum is σ = 358608760773120. Its totient is φ = 43874611200000.

The previous prime is 131031001240987. The next prime is 131031001241033. The reversal of 131031001241000 is 142100130131.

It is a self number, because there is not a number n which added to its sum of digits gives 131031001241000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2889878330 + ... + 2889923670.

It is an arithmetic number, because the mean of its divisors is an integer number (1400815471770).

Almost surely, 2^{131031001241000} is an apocalyptic number.

131031001241000 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 131031001241000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179304380386560).

131031001241000 is an abundant number, since it is smaller than the sum of its proper divisors (227577759532120).

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

131031001241000 is a wasteful number, since it uses less digits than its factorization.

131031001241000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55013 (or 54999 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 131031001241000 its reverse (142100130131), we get a palindrome (131173101371131).

The spelling of 131031001241000 in words is "one hundred thirty-one trillion, thirty-one billion, one million, two hundred forty-one thousand".