131133122221332 has 96 divisors (see below), whose sum is σ = 384222621404160. Its totient is φ = 33815511256320.

The previous prime is 131133122221301. The next prime is 131133122221483. The reversal of 131133122221332 is 233122221331131.

It is a happy number.

131133122221332 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 131133122221332.

It is a congruent number.

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, 510371433 + ... + 510628304.

It is an arithmetic number, because the mean of its divisors is an integer number (4002318972960).

Almost surely, 2^{131133122221332} is an apocalyptic number.

131133122221332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131133122221332 is an abundant number, since it is smaller than the sum of its proper divisors (253089499182828).

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

131133122221332 is a wasteful number, since it uses less digits than its factorization.

131133122221332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1020999901 (or 1020999899 counting only the distinct ones).

The product of its digits is 7776, while the sum is 30.

Adding to 131133122221332 its reverse (233122221331131), we get a palindrome (364255343552463).

The spelling of 131133122221332 in words is "one hundred thirty-one trillion, one hundred thirty-three billion, one hundred twenty-two million, two hundred twenty-one thousand, three hundred thirty-two".