1013312232000 has 336 divisors, whose sum is σ = 3626721242352. Its totient is φ = 270072422400.

The previous prime is 1013312231993. The next prime is 1013312232017. The reversal of 1013312232000 is 2322133101.

1013312232000 is a `hidden beast` number, since 10 + 1 + 331 + 2 + 2 + 320 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 260540826624 + 752771405376 = 510432^2 + 867624^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 258694042 + ... + 258697958.

Almost surely, 2^{1013312232000} is an apocalyptic number.

1013312232000 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 1013312232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1813360621176).

1013312232000 is an abundant number, since it is smaller than the sum of its proper divisors (2613409010352).

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

1013312232000 is a wasteful number, since it uses less digits than its factorization.

1013312232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7543 (or 7520 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1013312232000 its reverse (2322133101), we get a palindrome (1015634365101).

The spelling of 1013312232000 in words is "one trillion, thirteen billion, three hundred twelve million, two hundred thirty-two thousand".