131121432321000 has 384 divisors, whose sum is σ = 453211530670080. Its totient is φ = 31536711360000.

The previous prime is 131121432320971. The next prime is 131121432321013. The reversal of 131121432321000 is 123234121131.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 44678890 + ... + 47523110.

It is an arithmetic number, because the mean of its divisors is an integer number (1180238361120).

Almost surely, 2^{131121432321000} is an apocalyptic number.

131121432321000 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 131121432321000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226605765335040).

131121432321000 is an abundant number, since it is smaller than the sum of its proper divisors (322090098349080).

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

131121432321000 is a wasteful number, since it uses less digits than its factorization.

131121432321000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2844394 (or 2844369 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 131121432321000 its reverse (123234121131), we get a palindrome (131244666442131).

The spelling of 131121432321000 in words is "one hundred thirty-one trillion, one hundred twenty-one billion, four hundred thirty-two million, three hundred twenty-one thousand".