1312111233132 has 288 divisors, whose sum is σ = 3808781222400. Its totient is φ = 349691747328.

The previous prime is 1312111233119. The next prime is 1312111233163. The reversal of 1312111233132 is 2313321112131.

It is a super-3 number, since 3×1312111233132³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 470457994 + ... + 470460782.

It is an arithmetic number, because the mean of its divisors is an integer number (13224934800).

Almost surely, 2^{1312111233132} is an apocalyptic number.

1312111233132 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 1312111233132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1904390611200).

1312111233132 is an abundant number, since it is smaller than the sum of its proper divisors (2496669989268).

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

1312111233132 is a wasteful number, since it uses less digits than its factorization.

1312111233132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3685 (or 3676 counting only the distinct ones).

The product of its digits is 648, while the sum is 24.

Adding to 1312111233132 its reverse (2313321112131), we get a palindrome (3625432345263).

The spelling of 1312111233132 in words is "one trillion, three hundred twelve billion, one hundred eleven million, two hundred thirty-three thousand, one hundred thirty-two".