1312103331000 has 1152 divisors, whose sum is σ = 5660662138560. Its totient is φ = 271063296000.

The previous prime is 1312103330921. The next prime is 1312103331013. The reversal of 1312103331000 is 1333012131.

It is a happy number.

1312103331000 is a `hidden beast` number, since 1 + 312 + 10 + 33 + 310 + 0 + 0 = 666.

It is a super-2 number, since 2×1312103331000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 955646314 + ... + 955647686.

Almost surely, 2^{1312103331000} is an apocalyptic number.

1312103331000 is a gapful number since it is divisible by the number (10) 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 1312103331000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2830331069280).

1312103331000 is an abundant number, since it is smaller than the sum of its proper divisors (4348558807560).

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

1312103331000 is a wasteful number, since it uses less digits than its factorization.

1312103331000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1622 (or 1598 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 1312103331000 its reverse (1333012131), we get a palindrome (1313436343131).

The spelling of 1312103331000 in words is "one trillion, three hundred twelve billion, one hundred three million, three hundred thirty-one thousand".