1031132133312 has 112 divisors (see below), whose sum is σ = 2768149708800. Its totient is φ = 338714514432.

The previous prime is 1031132133299. The next prime is 1031132133313. The reversal of 1031132133312 is 2133312311301.

It is a super-2 number, since 2×1031132133312² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1031132133313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3491313 + ... + 3775119.

It is an arithmetic number, because the mean of its divisors is an integer number (24715622400).

Almost surely, 2^{1031132133312} is an apocalyptic number.

1031132133312 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 1031132133312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1384074854400).

1031132133312 is an abundant number, since it is smaller than the sum of its proper divisors (1737017575488).

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

1031132133312 is a wasteful number, since it uses less digits than its factorization.

1031132133312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284098 (or 284088 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 1031132133312 its reverse (2133312311301), we get a palindrome (3164444444613).

The spelling of 1031132133312 in words is "one trillion, thirty-one billion, one hundred thirty-two million, one hundred thirty-three thousand, three hundred twelve".