1002133400521 has 16 divisors (see below), whose sum is σ = 1098178197120. Its totient is φ = 906916679680.

The previous prime is 1002133400441. The next prime is 1002133400531. The reversal of 1002133400521 is 1250043312001.

It is a happy number.

It is not a de Polignac number, because 1002133400521 - 2²³ = 1002125011913 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1002133400492 and 1002133400501.

It is not an unprimeable number, because it can be changed into a prime (1002133400531) 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, 4432695 + ... + 4653283.

It is an arithmetic number, because the mean of its divisors is an integer number (68636137320).

Almost surely, 2^{1002133400521} is an apocalyptic number.

1002133400521 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1002133400521 is a deficient number, since it is larger than the sum of its proper divisors (96044796599).

1002133400521 is a wasteful number, since it uses less digits than its factorization.

1002133400521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222464.

The product of its (nonzero) digits is 720, while the sum is 22.

Adding to 1002133400521 its reverse (1250043312001), we get a palindrome (2252176712522).

The spelling of 1002133400521 in words is "one trillion, two billion, one hundred thirty-three million, four hundred thousand, five hundred twenty-one".