1010003332000 has 96 divisors (see below), whose sum is σ = 2672468954064. Its totient is φ = 372924288000.

The previous prime is 1010003331991. The next prime is 1010003332001. The reversal of 1010003332000 is 2333000101.

1010003332000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 7930258704 + 1002073073296 = 89052^2 + 1001036^2 .

It is a super-2 number, since 2×1010003332000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (1010003332001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9659571 + ... + 9763570.

Almost surely, 2^{1010003332000} is an apocalyptic number.

1010003332000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1010003332000 is an abundant number, since it is smaller than the sum of its proper divisors (1662465622064).

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

1010003332000 is a wasteful number, since it uses less digits than its factorization.

1010003332000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19423179 (or 19423161 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

Adding to 1010003332000 its reverse (2333000101), we get a palindrome (1012336332101).

The spelling of 1010003332000 in words is "one trillion, ten billion, three million, three hundred thirty-two thousand".