131332023101000 has 128 divisors (see below), whose sum is σ = 311287148172000. Its totient is φ = 51856104960000.

The previous prime is 131332023100963. The next prime is 131332023101017. The reversal of 131332023101000 is 101320233131.

131332023101000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 2989724562724 + 128342298538276 = 1729082^2 + 11328826^2 .

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

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, 52261346 + ... + 54716654.

Almost surely, 2^{131332023101000} is an apocalyptic number.

131332023101000 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 131332023101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155643574086000).

131332023101000 is an abundant number, since it is smaller than the sum of its proper divisors (179955125071000).

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

131332023101000 is a wasteful number, since it uses less digits than its factorization.

131332023101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2456020 (or 2456006 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 131332023101000 its reverse (101320233131), we get a palindrome (131433343334131).

The spelling of 131332023101000 in words is "one hundred thirty-one trillion, three hundred thirty-two billion, twenty-three million, one hundred one thousand".