131022233030000 has 400 divisors, whose sum is σ = 346485964624800. Its totient is φ = 47688984576000.

The previous prime is 131022233029981. The next prime is 131022233030009. The reversal of 131022233030000 is 30332220131.

It is a tau number, because it is divible by the number of its divisors (400).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131022233030009) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 32731007999 + ... + 32731012001.

It is an arithmetic number, because the mean of its divisors is an integer number (866214911562).

Almost surely, 2^{131022233030000} is an apocalyptic number.

131022233030000 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 131022233030000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173242982312400).

131022233030000 is an abundant number, since it is smaller than the sum of its proper divisors (215463731594800).

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

131022233030000 is a wasteful number, since it uses less digits than its factorization.

131022233030000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7566 (or 7545 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 131022233030000 its reverse (30332220131), we get a palindrome (131052565250131).

The spelling of 131022233030000 in words is "one hundred thirty-one trillion, twenty-two billion, two hundred thirty-three million, thirty thousand".