1020133312331 has 8 divisors (see below), whose sum is σ = 1166271621120. Its totient is φ = 874096248168.

The previous prime is 1020133312307. The next prime is 1020133312343. The reversal of 1020133312331 is 1332133310201.

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 1020133312331 - 2¹⁴ = 1020133295947 is a prime.

It is a super-2 number, since 2×1020133312331² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1020133312297 and 1020133312306.

It is not an unprimeable number, because it can be changed into a prime (1020133312531) 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, 25289561 + ... + 25329866.

It is an arithmetic number, because the mean of its divisors is an integer number (145783952640).

Almost surely, 2^{1020133312331} is an apocalyptic number.

1020133312331 is a deficient number, since it is larger than the sum of its proper divisors (146138308789).

1020133312331 is an equidigital number, since it uses as much as digits as its factorization.

1020133312331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50622313.

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 1020133312331 its reverse (1332133310201), we get a palindrome (2352266622532).

The spelling of 1020133312331 in words is "one trillion, twenty billion, one hundred thirty-three million, three hundred twelve thousand, three hundred thirty-one".