1000133669952 has 224 divisors, whose sum is σ = 3097275187200. Its totient is φ = 315594994176.

The previous prime is 1000133669917. The next prime is 1000133669987. The reversal of 1000133669952 is 2599663310001.

It is an interprime number because it is at equal distance from previous prime (1000133669917) and next prime (1000133669987).

It is a junction number, because it is equal to n+sod(n) for n = 1000133669898 and 1000133669907.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46709233 + ... + 46730639.

Almost surely, 2^{1000133669952} is an apocalyptic number.

1000133669952 is a gapful number since it is divisible by the number (12) 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 1000133669952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1548637593600).

1000133669952 is an abundant number, since it is smaller than the sum of its proper divisors (2097141517248).

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

1000133669952 is a wasteful number, since it uses less digits than its factorization.

1000133669952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22870 (or 22854 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

Adding to 1000133669952 its reverse (2599663310001), we get a palindrome (3599796979953).

The spelling of 1000133669952 in words is "one trillion, one hundred thirty-three million, six hundred sixty-nine thousand, nine hundred fifty-two".