131022133122331 has 32 divisors (see below), whose sum is σ = 149110829936640. Its totient is φ = 114046660713600.

The previous prime is 131022133122329. The next prime is 131022133122343. The reversal of 131022133122331 is 133221331220131.

It is a cyclic number.

It is not a de Polignac number, because 131022133122331 - 2¹ = 131022133122329 is a prime.

It is a super-2 number, since 2×131022133122331² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 131022133122331.

It is not an unprimeable number, because it can be changed into a prime (131022133128331) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37269541 + ... + 40633273.

It is an arithmetic number, because the mean of its divisors is an integer number (4659713435520).

Almost surely, 2^{131022133122331} is an apocalyptic number.

131022133122331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

131022133122331 is a deficient number, since it is larger than the sum of its proper divisors (18088696814309).

131022133122331 is a wasteful number, since it uses less digits than its factorization.

131022133122331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3364987.

The product of its (nonzero) digits is 3888, while the sum is 28.

Adding to 131022133122331 its reverse (133221331220131), we get a palindrome (264243464342462).

The spelling of 131022133122331 in words is "one hundred thirty-one trillion, twenty-two billion, one hundred thirty-three million, one hundred twenty-two thousand, three hundred thirty-one".