1013100966432 has 192 divisors, whose sum is σ = 3132588816000. Its totient is φ = 317439959040.

The previous prime is 1013100966431. The next prime is 1013100966457. The reversal of 1013100966432 is 2346690013101.

1013100966432 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 1 + 0 + 0 + 9 + 6 + 643 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1013100966431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11869444 + ... + 11954492.

It is an arithmetic number, because the mean of its divisors is an integer number (16315566750).

Almost surely, 2^{1013100966432} is an apocalyptic number.

1013100966432 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 1013100966432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1566294408000).

1013100966432 is an abundant number, since it is smaller than the sum of its proper divisors (2119487849568).

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

1013100966432 is a wasteful number, since it uses less digits than its factorization.

1013100966432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85896 (or 85882 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

Adding to 1013100966432 its reverse (2346690013101), we get a palindrome (3359790979533).

The spelling of 1013100966432 in words is "one trillion, thirteen billion, one hundred million, nine hundred sixty-six thousand, four hundred thirty-two".