131023211100000 has 288 divisors, whose sum is σ = 430074398789280. Its totient is φ = 34924730880000.

The previous prime is 131023211099999. The next prime is 131023211100007. The reversal of 131023211100000 is 1112320131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131023211100007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 717808746 + ... + 717991254.

It is an arithmetic number, because the mean of its divisors is an integer number (1493313884685).

Almost surely, 2^{131023211100000} is an apocalyptic number.

131023211100000 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 131023211100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215037199394640).

131023211100000 is an abundant number, since it is smaller than the sum of its proper divisors (299051187689280).

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

131023211100000 is an equidigital number, since it uses as much as digits as its factorization.

131023211100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184940 (or 184912 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 131023211100000 its reverse (1112320131), we get a palindrome (131024323420131).

The spelling of 131023211100000 in words is "one hundred thirty-one trillion, twenty-three billion, two hundred eleven million, one hundred thousand".