131022133032 has 256 divisors, whose sum is σ = 401778524160. Its totient is φ = 34754863104.

The previous prime is 131022133013. The next prime is 131022133037. The reversal of 131022133032 is 230331220131.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (131022133037) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 92073873 + ... + 92075295.

It is an arithmetic number, because the mean of its divisors is an integer number (1569447360).

Almost surely, 2^131022133032 is an apocalyptic number.

131022133032 is a gapful number since it is divisible by the number (12) 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 131022133032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200889262080).

131022133032 is an abundant number, since it is smaller than the sum of its proper divisors (270756391128).

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

131022133032 is a wasteful number, since it uses less digits than its factorization.

131022133032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1872 (or 1868 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 131022133032 its reverse (230331220131), we get a palindrome (361353353163).

The spelling of 131022133032 in words is "one hundred thirty-one billion, twenty-two million, one hundred thirty-three thousand, thirty-two".