1000133013331 has 8 divisors (see below), whose sum is σ = 1054408886720. Its totient is φ = 946020869352.

The previous prime is 1000133013317. The next prime is 1000133013337. The reversal of 1000133013331 is 1333103310001.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1000133013331 - 2³⁷ = 862694059859 is a prime.

It is a super-2 number, since 2×1000133013331² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1000133013299 and 1000133013308.

It is not an unprimeable number, because it can be changed into a prime (1000133013337) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40919805 + ... + 40944238.

It is an arithmetic number, because the mean of its divisors is an integer number (131801110840).

Almost surely, 2^{1000133013331} is an apocalyptic number.

1000133013331 is a deficient number, since it is larger than the sum of its proper divisors (54275873389).

1000133013331 is an equidigital number, since it uses as much as digits as its factorization.

1000133013331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81864705.

The product of its (nonzero) digits is 243, while the sum is 19.

Adding to 1000133013331 its reverse (1333103310001), we get a palindrome (2333236323332).

The spelling of 1000133013331 in words is "one trillion, one hundred thirty-three million, thirteen thousand, three hundred thirty-one".