1001303133000 has 128 divisors (see below), whose sum is σ = 3159168480000. Its totient is φ = 264013939200.

The previous prime is 1001303132971. The next prime is 1001303133007. The reversal of 1001303133000 is 3313031001.

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

It is not an unprimeable number, because it can be changed into a prime (1001303133007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1608100 + ... + 2142099.

It is an arithmetic number, because the mean of its divisors is an integer number (24681003750).

Almost surely, 2^{1001303133000} is an apocalyptic number.

1001303133000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001303133000 is an abundant number, since it is smaller than the sum of its proper divisors (2157865347000).

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

1001303133000 is a wasteful number, since it uses less digits than its factorization.

1001303133000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3750312 (or 3750298 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 15.

Adding to 1001303133000 its reverse (3313031001), we get a palindrome (1004616164001).

The spelling of 1001303133000 in words is "one trillion, one billion, three hundred three million, one hundred thirty-three thousand".