131201321132000 has 192 divisors, whose sum is σ = 368449655333760. Its totient is φ = 44978872320000.

The previous prime is 131201321131981. The next prime is 131201321132017. The reversal of 131201321132000 is 231123102131.

It is a happy number.

It is a super-2 number, since 2×131201321132000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 290106050 + ... + 290557950.

It is an arithmetic number, because the mean of its divisors is an integer number (1919008621530).

Almost surely, 2^{131201321132000} is an apocalyptic number.

131201321132000 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 131201321132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184224827666880).

131201321132000 is an abundant number, since it is smaller than the sum of its proper divisors (237248334201760).

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

131201321132000 is a wasteful number, since it uses less digits than its factorization.

131201321132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462302 (or 462284 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 131201321132000 its reverse (231123102131), we get a palindrome (131432444234131).

The spelling of 131201321132000 in words is "one hundred thirty-one trillion, two hundred one billion, three hundred twenty-one million, one hundred thirty-two thousand".