1032113012100 has 144 divisors (see below), whose sum is σ = 3070380316416. Its totient is φ = 267525504000.

The previous prime is 1032113012089. The next prime is 1032113012171. The reversal of 1032113012100 is 12103112301.

It is a happy number.

It is a super-2 number, since 2×1032113012100² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1032113012100.

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, 3178482 + ... + 3488118.

Almost surely, 2^{1032113012100} is an apocalyptic number.

1032113012100 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 1032113012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1535190158208).

1032113012100 is an abundant number, since it is smaller than the sum of its proper divisors (2038267304316).

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

1032113012100 is a wasteful number, since it uses less digits than its factorization.

1032113012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309966 (or 309959 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 1032113012100 its reverse (12103112301), we get a palindrome (1044216124401).

The spelling of 1032113012100 in words is "one trillion, thirty-two billion, one hundred thirteen million, twelve thousand, one hundred".