131201003331000 has 384 divisors, whose sum is σ = 455752784597760. Its totient is φ = 34018320384000.

The previous prime is 131201003330989. The next prime is 131201003331007. The reversal of 131201003331000 is 133300102131.

It is a happy number.

131201003331000 is a `hidden beast` number, since 1 + 31 + 201 + 0 + 0 + 333 + 100 + 0 = 666.

It is a super-2 number, since 2×131201003331000² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131201003331007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 495038520 + ... + 495303480.

It is an arithmetic number, because the mean of its divisors is an integer number (1186856209890).

Almost surely, 2^{131201003331000} is an apocalyptic number.

131201003331000 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 131201003331000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227876392298880).

131201003331000 is an abundant number, since it is smaller than the sum of its proper divisors (324551781266760).

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

131201003331000 is a wasteful number, since it uses less digits than its factorization.

131201003331000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266512 (or 266495 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 131201003331000 its reverse (133300102131), we get a palindrome (131334303433131).

The spelling of 131201003331000 in words is "one hundred thirty-one trillion, two hundred one billion, three million, three hundred thirty-one thousand".