131222322033000 has 512 divisors, whose sum is σ = 447544880640000. Its totient is φ = 31746610560000.

The previous prime is 131222322032981. The next prime is 131222322033043. The reversal of 131222322033000 is 330223222131.

131222322033000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 48618865651 + ... + 48618868349.

It is an arithmetic number, because the mean of its divisors is an integer number (874111095000).

Almost surely, 2^{131222322033000} is an apocalyptic number.

131222322033000 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 131222322033000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223772440320000).

131222322033000 is an abundant number, since it is smaller than the sum of its proper divisors (316322558607000).

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

131222322033000 is a wasteful number, since it uses less digits than its factorization.

131222322033000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5194 (or 5180 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 131222322033000 its reverse (330223222131), we get a palindrome (131552545255131).

The spelling of 131222322033000 in words is "one hundred thirty-one trillion, two hundred twenty-two billion, three hundred twenty-two million, thirty-three thousand".