1002133020114 has 112 divisors (see below), whose sum is σ = 2273697423360. Its totient is φ = 331095703680.

The previous prime is 1002133020113. The next prime is 1002133020169. The reversal of 1002133020114 is 4110203312001.

1002133020114 is a `hidden beast` number, since 100 + 21 + 330 + 201 + 14 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1002133020113) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 266451994 + ... + 266455754.

Almost surely, 2^{1002133020114} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1002133020114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1136848711680).

1002133020114 is an abundant number, since it is smaller than the sum of its proper divisors (1271564403246).

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

1002133020114 is a wasteful number, since it uses less digits than its factorization.

1002133020114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5347 (or 5332 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1002133020114 its reverse (4110203312001), we get a palindrome (5112336332115).

The spelling of 1002133020114 in words is "one trillion, two billion, one hundred thirty-three million, twenty thousand, one hundred fourteen".